1.
図書
William E. Boyce and Richard C. DiPrima
出版情報:
New York : Wiley, c1965 xvi, 485 p. ill. ; 24 cm
子書誌情報:
loading…
所蔵情報:
loading…
2.
図書
A.A. Andronov ・・・[et al.] ; translated from Russian by D. Louvish
出版情報:
Jerusalem : Israel Program for Scientific Translations; [distributed by Halstead Press, a division of] J. Wiley, New York , New York : Wiley, c1973 xxiii, 524 p. ; 25 cm
子書誌情報:
loading…
所蔵情報:
loading…
3.
図書
F.V. Atkinson
4.
図書
Anatole Beck ; with the assistance of Jonathan and Mirit Lewin
5.
図書
[by] Richard Bellman
6.
図書
Louis Brand
出版情報:
New York : Wiley, c1966 xvi, 698 p. ; 24 cm
子書誌情報:
loading…
所蔵情報:
loading…
7.
図書
N.P. Bhatia, O. Hajek
8.
図書
William E. Boyce and Richard C. Di Prima
出版情報:
New York : Wiley, c1969 xiv, 533, A-43, I-8 p ; 24 cm
子書誌情報:
loading…
所蔵情報:
loading…
9.
図書
[by] Fred Brauer and John A. Nohel
10.
図書
Stephen L. Campbell
出版情報:
New York : Longman, c1986 x, 563 p. ; 25 cm
子書誌情報:
loading…
所蔵情報:
loading…
11.
図書
G.S. Ladde, V. Lakshmikantham, B.G. Zhang
12.
図書
edited by G.I. Marchuk
出版情報:
Oxford : Pergamon Press, 1982 viii, 156 p. ; 24 cm
子書誌情報:
loading…
所蔵情報:
loading…
13.
図書
Augustin Louis Cauchy ; introduction, Christian Gilain ; préface, Jean Dieudonné
出版情報:
Paris : Etudes vivantes , New York : Johnson Reprint Corp., c1981 lvi, 146 p. ; 25 cm
子書誌情報:
loading…
所蔵情報:
loading…
14.
図書
by Ju. L. Daleckiĭ and M. G. Kreĭn
15.
図書
[by] Alice B. Dickinson
16.
図書
M. Braun
17.
図書
William T. Reid
18.
図書
Richard Bellman
19.
図書
by E.L. Ince
出版情報:
New York : Dover, c1956 viii, 558 p. ; 22 cm
子書誌情報:
loading…
所蔵情報:
loading…
目次情報:
続きを見る
Differential Equations in the Real Domain / Part I：
Introduction / I：
Elementary Methods of Integration / II：
The Existence and Nature of Solutions of Ordinary Differential Equations / III：
Continuous Transformation-Groups / IV：
The General Theory of Linear Differential Equations / V：
Linear Equations with Constant Coefficients / VI：
The Solution of Linear Differential Equations in an Infinite Form / VII：
The Solution of Linear Differential Equations by Definite Integrals / VIII：
The Algebraic Theory of Linear Differential Systems / IX：
The Sturmian Theory and its Later Developments / X：
Further Developments in the Theory of Boundary Problems / XI：
Differential Equations in the Complex Domain / Part II：
Existence Theorems in the Complex Domain / XII：
Equations of the First Order But Not of the First Degree / XIII：
Non-Linear Equations of Higher Order / XIV：
Linear Equations in the Complex Domain / XV：
The Solution of Linear Differential Equations in Series / XVI：
Equations with Irregular Singular Points / XVII：
The Solution of Linear Differential Equations by Methods of Contour Integration / XVIII：
Systems of Linear Equations of the First Order / XIX：
Classification of Linear Differential Equations of the Second Order with Rational Coefficients / XX：
Oscillation Theorems in the Complex Domain / XXI：
Historical Note on Formal Methods of Integration / Appendix A：
Numerical Integration of Ordinary Differential Equations / Appendix B：
List of Journals Quoted in Footnotes to the Text / Appendix C：
Bibliography / Appendix D：
Index of Authors
General index
Differential Equations in the Real Domain / Part I：
Introduction / I：
Elementary Methods of Integration / II：
20.
図書
Harry Hochstadt
21.
図書
David G. Luenberger
出版情報:
New York : Wiley, c1979 xiv, 446 p. ; 24 cm
子書誌情報:
loading…
所蔵情報:
loading…
目次情報:
続きを見る
Difference and Differential Equations
Linear Algebra
Linear State Equations
Linear Systems with Constant Coefficients
Positive Linear Systems
Markov Chains
Concepts of Control
Analysis of Nonlinear Systems
Some Important Dynamic Systems
Optimal Control
References
Index
Difference and Differential Equations
Linear Algebra
Linear State Equations
22.
図書
by L. Hopf ; tr. by Walter Nef
出版情報:
New York : Dover Publications, 1948 v, 154 p. ; 21 cm
シリーズ名:
Dover books ; S120
子書誌情報:
loading…
所蔵情報:
loading…
23.
図書
R. Gabasov, F. Kirillova ; translated by John L. Casti
24.
図書
А.В. Скороход ; [ответственный редактор, И.И. Гихман]
出版情報:
[Киев] : Изд-во Киевского университета, 1961 215 p. ; 22 cm
子書誌情報:
loading…
所蔵情報:
loading…
25.
図書
Po-Fang Hsieh, Yasutaka Sibuya
出版情報:
New York : Springer, c1999 xi, 468 p. ; 25 cm
シリーズ名:
Universitext
子書誌情報:
loading…
所蔵情報:
loading…
26.
図書
Carmen Chicone, Yuri Latushkin
目次情報:
続きを見る
Introduction
Semigroups on Banach spaces and evolution semigroups
Evolution families and Howland semigroups
Characterizations of dichotomy for evolution families
Two applications of evolution semigroups
Linear skew-product flows and Mather evolution semigroups
Characterizations of dichotomy for linear skew-product flows
Evolution operators and exact Lyapunov exponents
Bibliography
List of notations
Index
Introduction
Semigroups on Banach spaces and evolution semigroups
Evolution families and Howland semigroups
27.
図書
Jacek Szarski
28.
図書
H.O. Fattorini
目次情報:
続きを見る
Finite Dimensional Control Problems / Part I：
Calculus of variations and control theory / 1：
Optimal control problems without target conditions / 2：
Abstract minimization problems: the minimum principle for the time optimal problem / 3：
Abstract minimization problems: the minimum principle for general optimal control problems / 4：
Infinite Dimensional Control Problems / Part II：
Differential equations in Banach spaces and semigroup theory / 5：
Abstract minimization problems in Hilbert spaces: applications to hyperbolic control systems / 6：
Abstract minimization problems in Banach spaces: abstract parabolic linear and semilinear equations / 7：
Interpolation and domains of fractional powers / 8：
Linear control systems / 9：
Optimal control problems with state constraints / 10：
Optimal control problems with state constraints: The abstract parabolic case / 11：
Relaxed Controls / Part III：
Spaces of relaxed controls: topology and measure theory / 12：
Relaxed controls in finite dimensional systems: existence theory / 13：
Relaxed controls in infinite dimensional spaces: existence theory / 14：
Finite Dimensional Control Problems / Part I：
Calculus of variations and control theory / 1：
Optimal control problems without target conditions / 2：
29.
図書
by Antonio Kumpera and Donald Spencer
30.
図書
L. Lerman, G. Polotovskiĭ, L. Shilnikov, editors
目次情報:
続きを見る
Evgeniya Aleksandrovna Leontovich-Andronova (1905-1996) / L. P. Shilnikov
On the abundance of traveling waves in coupled expanding circle maps / V. Afraimovich ; M. Courbage
On cusp-bifurcations of periodic orbits in systems with a saddle-focus homoclinic curve / S. A. Alekseeva
Collapse and continuity of geodesic frameworks of surface foliations / S. Aranson ; V. Medvedev ; E. Zhuzhoma
Homoclinic and heteroclinic linkages in concrete systems: Nonlocal analysis and model maps / V. N. Belykh
On the mutual arrangement of a conic and a quintic in the real projective plane / A. A. Binstein ; G. M. Polotovskii
The structure of the boundary curve for planar controllability domains / N. N. Butenina
Orbit structure in a neighborhood of a separatrix cycle containing two saddle-foci / V. V. Bykov
Example of a blue sky catastrophe / N. Gavrilov ; A. Shilnikov
Dynamics and moduli of $\Omega$-conjugacy of 4D-diffeomorphisms with a structurally unstable homoclinic orbit to a saddle-focus fixed point / S. V. Gonchenko
Topological classification of amply situated attractors of $A$-diffeomorphisms of surfaces / V. Z. Grines ; R. V. Plykin
A proof of Shilnikov's theorem for $C^1$-smooth dynamical systems / M. V. Shashkov ; D. V. Turaev
A new simple bifurcation of a periodic orbit of "blue sky catastrophe" type
On the splitting of the complex loop of a separatrix / V. P. Tareev
Some topological structures of quadratic systems with at least four limit cycles / A. A. E.
Torus maps from weak coupling of strong resonances / J. Guckenheimer ; I. Khibnik
Isoenergetical structure of integrable Hamiltonian systems in an extended neighborhood of a simple singular point: Three degrees of freedom / L. M. Lerman
Evgeniya Aleksandrovna Leontovich-Andronova (1905-1996) / L. P. Shilnikov
On the abundance of traveling waves in coupled expanding circle maps / V. Afraimovich ; M. Courbage
On cusp-bifurcations of periodic orbits in systems with a saddle-focus homoclinic curve / S. A. Alekseeva
31.
図書
А.А. Андронов ... [и др.]
出版情報:
Москва : Изд-во "Наука", Глав. ред. физико-математической лит-ры, 1966 568 p. ; 27 cm
子書誌情報:
loading…
所蔵情報:
loading…
32.
図書
A. Khovanskiĭ, A. Varchenko, V. Vassiliev, editors
目次情報:
続きを見る
Lagrangian reduction, the Euler-Poincare equations, and semidirect products / H. Cendra ; D. D. Holm ; J. E. Marsden ; T. S. Ratiu
Lagrangian intersection theory: Finite-dimensional approach / Y. Eliashberg ; M. Gromov
Multiplicity of a Noetherian intersection / A. Gabrielov ; A. Khovanskii
Sixth Painleve equation, universal elliptic curve, and mirror of ${\mathbf P}^2$ / Yu. I. Manin
Convex hulls of random processes / Ya. G. Sinai
Mutual position of hypersurfaces in projective space / O. Viro
Hochschild cohomology and characteristic classes for star-products / A. Weinstein ; P. Xu
Lagrangian reduction, the Euler-Poincare equations, and semidirect products / H. Cendra ; D. D. Holm ; J. E. Marsden ; T. S. Ratiu
Lagrangian intersection theory: Finite-dimensional approach / Y. Eliashberg ; M. Gromov
Multiplicity of a Noetherian intersection / A. Gabrielov ; A. Khovanskii
33.
図書
Garrett Birkhoff, Gian-Carlo Rota
34.
図書
S.K. Godunov ; [translated from the Russian by Tamara Rozhkovskaya with the participation of Scientific Books (RIMIBE NSU), Novosibirsk, Russia]
目次情報:
続きを見る
Matrix exponentials, Green matrices, and the Lopatinskii condition
Quadratic Lyapunov functions
Qualitative properties of problems and algorithmic aspects
Linear control systems
References
Index
Matrix exponentials, Green matrices, and the Lopatinskii condition
Quadratic Lyapunov functions
Qualitative properties of problems and algorithmic aspects
35.
図書
B.G. Pachpatte
目次情報:
続きを見る
Nonlinear Integral Inequalities
Multidimensional Linear Integral Inequalities / I：
Multidimensional Nonlinear Integral Inequalities
References
Nonlinear Integral Inequalities
Multidimensional Linear Integral Inequalities / I：
Multidimensional Nonlinear Integral Inequalities
36.
図書
[by] Max Morris [and] Orley E. Brown
出版情報:
Englewood Cliffs, N.J. : Prentice-Hall, 1964 vi, 366 p. ; 22 cm
子書誌情報:
loading…
所蔵情報:
loading…
37.
図書
Wolfgang Walter ; translated by Russell Thompson
目次情報:
続きを見る
First Order Equations: Some Integrable Cases
Theory of First Order Differential Equations
First Order Systems
Higher Order Equations
Linear Differential Equations
Complex Linear Systems
Boundary Value and Eigenvalue Problems
Stability and Asymptotic Behavior
First Order Equations: Some Integrable Cases
Theory of First Order Differential Equations
First Order Systems
38.
図書
Garrett Birkhoff, Gian-Carlo Rota
39.
図書
Ti-Jun Xiao, Jin Liang
40.
図書
by Philip Franklin
出版情報:
New York : Dover Publications, 1960, c1933 vii, 299, 15 p. ; 21 cm
子書誌情報:
loading…
所蔵情報:
loading…
41.
図書
V.I. Arnold ; translated by Joseph Szücs ; English translation edited by Mark Levi
目次情報:
続きを見る
Special Equations
First-Order Partial Differential Equations
Structural Stability
Perturbation Theory
Normal Forms
Local Bifurcation Theory
Samples of Examination Problems
Index
Special Equations
First-Order Partial Differential Equations
Structural Stability
42.
図書
Angelo B. Mingarelli
43.
図書
Richard E. Williamson
出版情報:
New York : McGraw-Hill, c1997 xiii, 690 p. ; 27 cm
子書誌情報:
loading…
所蔵情報:
loading…
44.
図書
edited by Michael Demuth, Bert-Wolfgang Schulze
45.
図書
Herman Betz, Paul B. Burcham, George M. Ewing
出版情報:
New York : Harper & Row , Tokyo : John Weatherhill, 1964 xi, 354 p ; 22 cm
子書誌情報:
loading…
所蔵情報:
loading…
46.
図書
von Heinrich Hecht
出版情報:
Leipzig : J. A. Barth, 1939 vi, 125 p. ; 24 cm
子書誌情報:
loading…
所蔵情報:
loading…
47.
図書
Martin A. Guest
48.
図書
Wieslaw Krawcewicz, Jianhong Wu
目次情報:
続きを見る
Elements of Differential Topology
Degree in Finite-Dimensional Spaces
Leray-Schauder Degree for Compact Fields
Nussbaum-Sadovskii Degree for Condensing Fields
Applications to Bifurcation Theory
S 1 -Equivariant Degree
Global Hopf Bifurcation Theory
Equivariant Degree of Dold-Ulrich
References
Index
Elements of Differential Topology
Degree in Finite-Dimensional Spaces
Leray-Schauder Degree for Compact Fields
49.
図書
[by] Fred Brauer and John A. Nohel
50.
図書
Nagle, R. Kent ; Saff, Edward B., 1944- ; Snider, Arthur David, 1940-
出版情報:
Reading, Mass. ; Tokyo : Addison-Wesley Pub. Co., c1996 xx, 657, 10, 28, 4 p. ; 24 cm
子書誌情報:
loading…
所蔵情報:
loading…
目次情報:
続きを見る
(Most chapters end with a Chapter Summary, Review Problems and Group Projects.)
Introduction / 1：
Background
Solutions and Initial Value Problems
Direction Fields
The Approximation Method of Euler
First Order Differential Equations / 2：
Introduction: Motion of a Falling Body
Separable Equations
Linear Equations
Exact Equations
Special Integrating Factors
Substitutions and Transformations
Mathematical Models and Numerical Methods Involving First Order Equations / 3：
Mathematical Modeling
Compartmental Analysis
Heating and Cooling of Buildings
Newtonian Mechanics
Electrical Circuits
Improved Euler's Method
Higher-Order Numerical Methods: Taylor and Runge-Kutta
Linear Second Order Equations / 4：
Introduction: The Mass-Spring Oscillator
Homogeneous Linear Equations
The General Solution
Auxiliary Equations with Complex Roots
Nonhomogeneous Equations: the Method of Undetermined Coefficients
The Superposition Principle and Undetermined Coefficients Revisited
Variation of Parameters
Qualitative Considerations for Variable-Coefficient and Nonlinear Equations
A Closer Look at Free Mechanical Vibrations
A Closer Look at Forced Mechanical Vibrations
Introduction to Systems and Phase Plane Analysis / 5：
Interconnected Fluid Tanks
Elimination Method for Systems with Constant Coefficients
Solving Systems and Higher-Order Equations Numerically
Introduction to the Phase Plane
Coupled Mass-Spring Systems
Electrical Systems
Dynamical Systems, Poincaré Maps, and Chaos
Theory of Higher-Order Linear Differential Equations / 6：
Basic Theory of Linear Differential Equations
Homogeneous Linear Equations with Constant Coefficients
Undetermined Coefficients and the Annihilator Method
Method of Variation of Parameters
Laplace Transforms / 7：
Introduction: A Mixing Problem
Definition of the Laplace Transform
Properties of the Laplace Transform
Inverse Laplace Transform
Solving Initial Value Problems
Transforms of Discontinuous and Periodic Functions
Convolution
Impulses and the Dirac Delta Function
Solving Linear Systems with Laplace Transforms
Series Solutions of Differential Equations / 8：
Introduction: The Taylor Polynomial Approximation
Power Series and Analytic Functions
Power Series Solutions to Linear Differential Equations
Equations with Analytic Coefficients
Cauchy-Euler (Equidimensional) Equations
Method of Frobenius
Finding a Second Linearly Independent Solution
Special Functions
Matrix Methods for Linear Systems / 9：
Linear Algebraic Equations / Review 1：
Matrices and Vectors / Review 2：
Linear Systems in Normal Form
Homogeneous Linear Systems with Constant Coefficients
Complex Eigenvalues
Nonhomogeneous Linear Systems
The Matrix Exponential Function
Partial Differential Equations / 10：
Introduction: A Model for Heat Flow
Method of Separation of Variables
Fourier Series
Fourier Cosine and Sine Series
The Heat Equation
The Wave Equation
Laplace's Equation
Appendices
Newton's Method
Simpson's Rule
Cramer's Rule
Method of Least Squares
Runge-Kutta Precedure for n
Equations
Answers to Odd-Numbered Problems
Index
(Most chapters end with a Chapter Summary, Review Problems and Group Projects.)
Introduction / 1：
Background
51.
図書
John Heading
出版情報:
London : G. Allen and Unwin, 1971 iv, 92 p ; 23 cm
シリーズ名:
Problem solvers ; no. 1
子書誌情報:
loading…
所蔵情報:
loading…
52.
図書
Roberto Dragoni ... [et al.]
53.
図書
Б.Ф. Былов ... [и др.]
出版情報:
Москва : "Наука", Глав. ред. физико-математической лит-ры, 1966 576 p. ; 21 cm
子書誌情報:
loading…
所蔵情報:
loading…
54.
図書
John H. Hubbard, Beverly H. West
55.
図書
Earl A. Coddington
56.
図書
Willi-Hans Steeb
出版情報:
Singapore : World Scientific, c1996 xi, 360 p. ; 23 cm
子書誌情報:
loading…
所蔵情報:
loading…
57.
図書
edited by Ian Knowles
出版情報:
Boston : International Press, c1995 216 p. ; ill. ; 24 cm
子書誌情報:
loading…
所蔵情報:
loading…
58.
図書
by Forest Ray Moulton
出版情報:
New York : Dover, 1958 xv, 395 p. ; 21 cm
子書誌情報:
loading…
所蔵情報:
loading…
59.
図書
С.Г. Михлин и Х.Л. Смолицкий
60.
図書
Piotr Blass, Jeffrey Lang ; with sections by David Joyce, William E. Lang and with the collaboration of Raymond Hoobler ... [et al.]
61.
図書
by Georges Valiron ; translated by James Glazebrook
62.
図書
William E. Boyce and Richard C. DiPrima
出版情報:
New York : Wiley, c1977 xiv, 582, [56] p. ; 24 cm
子書誌情報:
loading…
所蔵情報:
loading…
目次情報:
続きを見る
Preface
Introduction / Chapter 1：
Some Basic Mathematical Models; Direction Fields / 1.1：
Solutions of Some Differential Equations / 1.2：
Classification of Differential Equations / 1.3：
Historical Remarks / 1.4：
First Order Differential Equations / Chapter 2：
Linear Equations with Variable Coefficients / 2.1：
Separable Equations / 2.2：
Modeling with First Order Equations / 2.3：
Differences Between Linear and Nonlinear Equations / 2.4：
Autonomous Equations and Population Dynamics / 2.5：
Exact Equations and Integrating Factors / 2.6：
Numerical Approximations: Euler's Method / 2.7：
The Existence and Uniqueness Theorem / 2.8：
First Order Difference Equations / 2.9：
Second Order Linear Equations / Chapter 3：
Homogeneous Equations with Constant Coefficients / 3.1：
Fundamental Solutions of Linear Homogeneous Equations / 3.2：
Linear Independence and the Wronskian / 3.3：
Complex Roots of the Characteristic Equation / 3.4：
Repeated Roots; Reduction of Order / 3.5：
Nonhomogeneous Equations; Method of Undetermined Coefficients / 3.6：
Variation of Parameters / 3.7：
Mechanical and Electrical Vibrations / 3.8：
Forced Vibrations / 3.9：
Higher Order Linear Equations / Chapter 4：
General Theory of nth Order Linear Equations / 4.1：
Homogeneous Equations with Constant Coeffients / 4.2：
The Method of Undetermined Coefficients / 4.3：
The Method of Variation of Parameters / 4.4：
Series Solutions of Second Order Linear Equations / Chapter 5：
Review of Power Series / 5.1：
Series Solutions near an Ordinary Point, Part I / 5.2：
Series Solutions near an Ordinary Point, Part II / 5.3：
Regular Singular Points / 5.4：
Euler Equations / 5.5：
Series Solutions near a Regular Singular Point, Part I / 5.6：
Series Solutions near a Regular Singular Point, Part II / 5.7：
Bessel's Equation / 5.8：
The Laplace Transform / Chapter 6：
Definition of the Laplace Transform / 6.1：
Solution of Initial Value Problems / 6.2：
Step Functions / 6.3：
Differential Equations with Discontinuous Forcing Functions / 6.4：
Impulse Functions / 6.5：
The Convolution Integral / 6.6：
Systems of First Order Linear Equations / Chapter 7：
Review of Matrices / 7.1：
Systems of Linear Algebraic Equations; Linear Independence, Eigenvalues, Eigenvectors / 7.3：
Basic Theory of Systems of First Order Linear Equations / 7.4：
Homogeneous Linear Systems with Constant Coefficients / 7.5：
Complex Eigenvalues / 7.6：
Fundamental Matrices / 7.7：
Repeated Eigenvalues / 7.8：
Nonhomogeneous Linear Systems / 7.9：
Numerical Methods / Chapter 8：
The Euler or Tangent Line Method / 8.1：
Improvements on the Euler Method / 8.2：
The Runge-Kutta Method / 8.3：
Multistep Methods / 8.4：
More on Errors; Stability / 8.5：
Systems of First Order Equations / 8.6：
Nonlinear Differential Equations and Stability / Chapter 9：
The Phase Plane; Linear Systems / 9.1：
Autonomous Systems and Stability / 9.2：
Almost Linear Systems / 9.3：
Competing Species / 9.4：
Predator-Prey Equations / 9.5：
Liapunov's Second Method / 9.6：
Periodic Solutions and Limit Cycles / 9.7：
Chaos and Strange Attractors; the Lorenz Equations / 9.8：
Partial Differential Equations and Fourier Series / Chapter 10：
Two-Point Boundary Valve Problems / 10.1：
Fourier Series / 10.2：
The Fourier Convergence Theorem / 10.3：
Even and Odd Functions / 10.4：
Separation of Variables; Heat Conduction in a Rod / 10.5：
Other Heat Conduction Problems / 10.6：
The Wave Equation; Vibrations of an Elastic String / 10.7：
Laplace's Equation / 10.8：
Derivation of the Heat Conduction Equation / Appendix A.：
Derivation of the Wave Equation / Appendix B.：
Boundary Value Problems and Sturm-Liouville Theory / Chapter 11：
The Occurrence of Two Point Boundary Value Problems / 11.1：
Sturm-Liouville Boundary Value Problems / 11.2：
Nonhomogeneous Boundary Value Problems / 11.3：
Singular Sturm-Liouville Problems / 11.4：
Further Remarks on the Method of Separation of Variables: A Bessel Series Expansion / 11.5：
Series of Orthogonal Functions: Mean Convergence / 11.6：
Answers to Problems
Index
Preface
Introduction / Chapter 1：
Some Basic Mathematical Models; Direction Fields / 1.1：
63.
図書
J.P. LaSalle
64.
図書
Ye Yan-qian and Cai Sui-lin ... [et al.] ; translated by Chi Y. Lo
65.
図書
Julij A. Dubinskij
66.
図書
editor, Themistocles M. Rassias
出版情報:
Singapore ; Teaneck, N.J. : World Scientific, c1991 2 v. (xiv, 1438 p.) ; 23 cm
子書誌情報:
loading…
所蔵情報:
loading…
67.
図書
B. Malgrange
68.
図書
M. Faierman
69.
図書
[by] Michael Golomb [and] Merrill Shanks
70.
図書
V. Barbu, editor
71.
図書
Vladimir I. Arnol'd ; translated from the Russian by Roger Cooke
出版情報:
Berlin : Tokyo : Springer-Verlag, c1992 334 p. ; 24 cm
シリーズ名:
Springer textbook
子書誌情報:
loading…
所蔵情報:
loading…
目次情報:
続きを見る
Preface
Frequently Used Notation
Basic Concepts / 1：
Phase Spaces and Phase Flows
Vector Fields on the Line / 2：
Phase Flows on the Line / 3：
Vector Fields and Phase Flows in the Plane / 4：
Nonautonomous Equations / 5：
The Tangent Space / 6：
Basic Theorems
The Vector Field near a Nonsingular Point / 7：
Applications to the Nonautonomous Case / 8：
Applications to Equations of Higher Order / 9：
Phase Curves of Autonomous Systems / 10：
The Directional Derivative. First Integrals / 11：
Conservative Systems with One Degree of Freedom / 12：
Linear Systems
Linear Problems / 13：
The Exponential of an Operator / 14：
Properties of the Exponential / 15：
The Determinant of the Exponential / 16：
The Case of Distinct Real Eigenvalues / 17：
Complexification and Decomplexification / 18：
Linear Equations with a Complex Phase Space / 19：
Complexification of a Real Linear Equation / 20：
Classification of Singular Points of Linear Systems / 21：
Topological Classification of Singular Points / 22：
Stability of Equilibrium Positions / 23：
The Case of Purely Imaginary Eigenvalues / 24：
The Case of Multiple Eigenvalues / 25：
More on Quasi-Polynomials / 26：
Nonautonomous Linear Equations / 27：
Linear Equations with Periodic Coefficients / 28：
Variation of Constants / 29：
Proofs of the Basic Theorems
Contraction Mappings / 30：
The Existence, Uniqueness, and Continuity Theorems / 31：
The Differentiable Manifolds / 33：
The Tangent Bundle. Vector Fields on a Manifold / 34：
The Phase Flow Determined by a Vector Field / 35：
The Index of a Singular Point of a Vector Field / 36：
Sample Examination Problems
Bibliography
Index
Preface
Frequently Used Notation
Basic Concepts / 1：
72.
図書
[by] Richard E. Williamson [and] Hale F. Trotter
出版情報:
Englewood Cliffs, N.J. : Prentice-Hall, [1974] ix, 630 p. ; 25 cm
子書誌情報:
loading…
所蔵情報:
loading…
目次情報:
04104-08 Trade Math One (20 Hours)
Builds on trainees' basic math skills to solve trade-reproblems
Covers calculations using denomiand volume calculations, English-metric system conversbasic geometry, and calculation of stretchouts
04104-08 Trade Math One (20 Hours)
Builds on trainees' basic math skills to solve trade-reproblems
Covers calculations using denomiand volume calculations, English-metric system conversbasic geometry, and calculation of stretchouts
73.
図書
Robert E. O'Malley, Jr
74.
図書
Philip Hartman
出版情報:
New York : J. Wiley, c1964 xiv, 612 p. ; 24 cm
子書誌情報:
loading…
所蔵情報:
loading…
75.
図書
by Yu.L. Dalecky and S.V. Fomin
76.
図書
by Earl D. Rainville and Phillip E. Bedient
出版情報:
New York : Macmillan, c1974 xiii, 511 p. ; 25 cm
子書誌情報:
loading…
所蔵情報:
loading…
目次情報:
続きを見る
Definitions; Families of Curves / 1：
Equations of Order One / 2：
Numerical Methods / 3：
Elementary Applications / 4：
Additional Topics on Equations of Order One / 5：
Linear Differential Equations / 6：
Linear Equations with Constant Coefficients / 7：
Nonhomogeneous Equations: Undetermined Coefficients / 8：
Variation of Parameters / 9：
Applications / 10：
Linear Systems of Equations / 11：
Nonhomogeneous Systems of Equations / 12：
The Existence and Uniqueness of Solutions / 13：
The Laplace Transform / 14：
Inverse Transforms / 15：
Nonlinear Equations / 16：
Power Series Solutions / 17：
Solutions Near Regular Singular Points / 18：
Equations of Hypergeometric Type / 19：
Partial Differential Equations / 20：
Orthogonal Sets of Functions / 21：
Fourier Series / 22：
Boundary Value Problems / 23：
Additional Properties of the Laplace Transform / 24：
Partial Differential Equations Transform Methods / 25：
Answers to Odd-numbered Exercises
Index
Definitions; Families of Curves / 1：
Equations of Order One / 2：
Numerical Methods / 3：
77.
図書
Walter Leighton
出版情報:
Belmont, Calif. : Wadsworth Pub., c1963 viii, 264 p. ; 22 cm
子書誌情報:
loading…
所蔵情報:
loading…
78.
図書
edited by W.F. Ames, E.M. Harrell II, J.V. Herod
79.
図書
John M. Rassias
出版情報:
Singapore ; Teaneck, N.J. : World Scientific, c1991 vii, 184 p. ; 23 cm
子書誌情報:
loading…
所蔵情報:
loading…
80.
図書
Yu.S. Ilʹyashenko
目次情報:
続きを見る
Decomposition of a monodromy transformation into terms with noncomparable rates of decrease
Function-theoretic properties of regular functional cochains
The Phragmen-Lindelof theorem for regular functional cochains
Superexact asymptotic series
Ordering of functional cochains on a complex domain
Decomposition of a monodromy transformation into terms with noncomparable rates of decrease
Function-theoretic properties of regular functional cochains
The Phragmen-Lindelof theorem for regular functional cochains
81.
図書
by Greorge M. Murphy
出版情報:
Princeton, N.J. : Van Nostrand, c1960 451 p. ; 24 cm
子書誌情報:
loading…
所蔵情報:
loading…
82.
図書
B.D. Sleeman and R.J. Jarvis, editors
83.
図書
M.Sh. Birman, editor
目次情報:
続きを見る
Estimates for the number of negative eigenvalues of the Schrodinger operator and its generalizations / M. Sh. Birman ; M. Z. Solomyak
Discrete spectrum in the gaps of a continuous one for perturbations with large coupling constant
Discrete spectrum in the gaps for perturbations of the magnetic Schrodinger operator / G. D. Raikov
Boundedness conditions and spectrum estimates for the operators $b(X)a(D)$ and their analogs / G. E. Karadzhov
Reflection operators and their applications to asymptotic investigations of semiclassical integral equations / A. M. Budylin ; V. S. Buslaev
Weyl asymptotics for the discrete spectrum of the perturbed Hill operator / A. V. Sobolev
On solutions of the Schrodinger equation with radiation conditions at infinity / D. R. Yafaev
Estimates for the number of negative eigenvalues of the Schrodinger operator and its generalizations / M. Sh. Birman ; M. Z. Solomyak
Discrete spectrum in the gaps of a continuous one for perturbations with large coupling constant
Discrete spectrum in the gaps for perturbations of the magnetic Schrodinger operator / G. D. Raikov
84.
図書
[by] I.M. Glazman. Translated from Russian by IPST Staff
出版情報:
Jerusalem : Israel Program for Scientific Translations, 1965 ix, 234 p ; 25 cm
子書誌情報:
loading…
所蔵情報:
loading…
85.
図書
A.N. Tychonov and A.A. Samarski ; translated by S. Radding
86.
図書
[by] František Neuman
87.
図書
by E.R. Lapwood
88.
図書
Wolfgang Walter ; translated by Lisa Rosenblatt and Lawrence Shampine
89.
図書
V. Lakshmikantham and S. Leela
90.
図書
Y. V. Venkatesh
91.
図書
John H. Hubbard, Beverly H. West
目次情報:
続きを見る
Series Preface for Texts in Applied Mathematics Preface Acknowledgments Ways to Use This Book Introduction
Qualitative Methods / Chapter 1：
Fields of Slopes and Sketching of Solutions / 1.1：
Qualitative Description of Solutions / 1.2：
Fences / 1.3：
Funnels and Antifunnels / 1.4：
The Use of Fences, Funnels, and Antifunnels Exercises / 1.5：
Analystic Methods / Chapter 2：
Separation of Variables / 2.1：
Linear Differential Equations of First Order / 2.2：
Variation of Parameters / 2.3：
Bank Accounts and Linear Differential Equations / 2.4：
Series Preface for Texts in Applied Mathematics Preface Acknowledgments Ways to Use This Book Introduction
Qualitative Methods / Chapter 1：
Fields of Slopes and Sketching of Solutions / 1.1：
92.
図書
by John Heading
出版情報:
London : Elek Science, c1975 [10], 342 p. ; 22 cm
子書誌情報:
loading…
所蔵情報:
loading…
93.
図書
by Antonio Kumpera and Donald Spencer
94.
図書
[by] David A. Sánchez
95.
図書
Spain, Barry
96.
図書
Henri Cartan ; [translated from the French]
出版情報:
Paris : Hermann, c1971 [1],160 p. ; 23 cm
子書誌情報:
loading…
所蔵情報:
loading…
97.
図書
Zalman Rubinstein
出版情報:
New York : Academic Press, c1969 x, 477 p. ; 23 cm
子書誌情報:
loading…
所蔵情報:
loading…
98.
図書
George R. Sell
99.
図書
[by] Fred Brauer [and] John A. Nohel
100.
図書
Samuel S. Holland, Jr
図書
