1.
図書
William E. Boyce and Richard C. DiPrima
出版情報:
New York : Wiley, c1965 xvi, 485 p. ill. ; 24 cm
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2.
図書
F.V. Atkinson
3.
図書
Anatole Beck ; with the assistance of Jonathan and Mirit Lewin
4.
図書
[by] Richard Bellman
5.
図書
Louis Brand
出版情報:
New York : Wiley, c1966 xvi, 698 p. ; 24 cm
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6.
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
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7.
図書
[by] Fred Brauer and John A. Nohel
8.
図書
Stephen L. Campbell
出版情報:
New York : Longman, c1986 x, 563 p. ; 25 cm
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9.
図書
G.S. Ladde, V. Lakshmikantham, B.G. Zhang
10.
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
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11.
図書
by Ju. L. Daleckiĭ and M. G. Kreĭn
12.
図書
[by] Alice B. Dickinson
13.
図書
Richard Bellman
14.
図書
by E.L. Ince
出版情報:
New York : Dover, c1956 viii, 558 p. ; 22 cm
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目次情報:
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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:
15.
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
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16.
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
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17.
図書
Carmen Chicone, Yuri Latushkin
目次情報:
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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
18.
図書
Jacek Szarski
19.
図書
H.O. Fattorini
目次情報:
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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:
20.
図書
by Antonio Kumpera and Donald Spencer
21.
図書
L. Lerman, G. Polotovskiĭ, L. Shilnikov, editors
目次情報:
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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
22.
図書
A. Khovanskiĭ, A. Varchenko, V. Vassiliev, editors
目次情報:
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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
23.
図書
Garrett Birkhoff, Gian-Carlo Rota
24.
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:
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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
25.
図書
B.G. Pachpatte
目次情報:
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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
26.
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
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27.
図書
Wolfgang Walter ; translated by Russell Thompson
目次情報:
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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
28.
図書
Garrett Birkhoff, Gian-Carlo Rota
29.
図書
Ti-Jun Xiao, Jin Liang
30.
図書
by Philip Franklin
出版情報:
New York : Dover Publications, 1960, c1933 vii, 299, 15 p. ; 21 cm
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31.
図書
V.I. Arnold ; translated by Joseph Szücs ; English translation edited by Mark Levi
目次情報:
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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
32.
図書
edited by Michael Demuth, Bert-Wolfgang Schulze
33.
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
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34.
図書
Martin A. Guest
35.
図書
Wieslaw Krawcewicz, Jianhong Wu
目次情報:
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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
36.
図書
[by] Fred Brauer and John A. Nohel
37.
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
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38.
図書
Roberto Dragoni ... [et al.]
39.
図書
John H. Hubbard, Beverly H. West
40.
図書
Earl A. Coddington
41.
図書
Willi-Hans Steeb
出版情報:
Singapore : World Scientific, c1996 xi, 360 p. ; 23 cm
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42.
図書
edited by Ian Knowles
出版情報:
Boston : International Press, c1995 216 p. ; ill. ; 24 cm
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43.
図書
by Forest Ray Moulton
出版情報:
New York : Dover, 1958 xv, 395 p. ; 21 cm
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44.
図書
Piotr Blass, Jeffrey Lang ; with sections by David Joyce, William E. Lang and with the collaboration of Raymond Hoobler ... [et al.]
45.
図書
by Georges Valiron ; translated by James Glazebrook
46.
図書
Ye Yan-qian and Cai Sui-lin ... [et al.] ; translated by Chi Y. Lo
47.
図書
Julij A. Dubinskij
48.
図書
editor, Themistocles M. Rassias
出版情報:
Singapore ; Teaneck, N.J. : World Scientific, c1991 2 v. (xiv, 1438 p.) ; 23 cm
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49.
図書
B. Malgrange
50.
図書
M. Faierman
51.
図書
[by] Michael Golomb [and] Merrill Shanks
52.
図書
V. Barbu, editor
53.
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
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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:
54.
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
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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
55.
図書
Robert E. O'Malley, Jr
56.
図書
Philip Hartman
出版情報:
New York : J. Wiley, c1964 xiv, 612 p. ; 24 cm
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57.
図書
by Yu.L. Dalecky and S.V. Fomin
58.
図書
by Earl D. Rainville and Phillip E. Bedient
出版情報:
New York : Macmillan, c1974 xiii, 511 p. ; 25 cm
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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:
59.
図書
Walter Leighton
出版情報:
Belmont, Calif. : Wadsworth Pub., c1963 viii, 264 p. ; 22 cm
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60.
図書
John M. Rassias
出版情報:
Singapore ; Teaneck, N.J. : World Scientific, c1991 vii, 184 p. ; 23 cm
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61.
図書
Yu.S. Ilʹyashenko
目次情報:
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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
62.
図書
by Greorge M. Murphy
出版情報:
Princeton, N.J. : Van Nostrand, c1960 451 p. ; 24 cm
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63.
図書
B.D. Sleeman and R.J. Jarvis, editors
64.
図書
M.Sh. Birman, editor
目次情報:
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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
65.
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
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66.
図書
[by] František Neuman
67.
図書
by E.R. Lapwood
68.
図書
Wolfgang Walter ; translated by Lisa Rosenblatt and Lawrence Shampine
69.
図書
V. Lakshmikantham and S. Leela
70.
図書
John H. Hubbard, Beverly H. West
目次情報:
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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:
71.
図書
[by] David A. Sánchez
72.
図書
Spain, Barry
73.
図書
Henri Cartan ; [translated from the French]
出版情報:
Paris : Hermann, c1971 [1],160 p. ; 23 cm
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74.
図書
Zalman Rubinstein
出版情報:
New York : Academic Press, c1969 x, 477 p. ; 23 cm
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75.
図書
George R. Sell
76.
図書
[by] Fred Brauer [and] John A. Nohel
77.
図書
Samuel S. Holland, Jr
78.
図書
Yasutaka Sibuya ; [translated from the Japanese by Yasutaka Sibuya]
79.
図書
by Nicholas M. Katz
80.
図書
by Earl A. Coddington
出版情報:
Tokyo : Maruzen, 1963 xi, 292 p. ; 21 cm
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81.
図書
by Wilfred Kaplan
82.
図書
by Francis J. Murray and Kenneth S. Miller
出版情報:
New York : Univ. Press, 1954 x, 154 p. ; 23 cm
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83.
図書
[by] George F. Simmons
目次情報:
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The Nature of Differential Equations / 1:
First Order Equations / 2:
Second Order Linear Equations / 3:
Qualitative Properties of Solutions / 4:
Power Series Solutions and Special Functions / 5:
Fourier Series and Orthogonal Functions / 6:
Partial Differential Equations and Boundary Value Problems / 7:
Some Special Functions of Mathematical Physics / 8:
Laplace Transforms / 9:
Systems of First Order Equations / 10:
Nonlinear Equations / 11:
The Calculus of Variations / 12:
The Existence and Uniqueness of Solutions / 13:
Numerical Methods / 14:
The Nature of Differential Equations / 1:
First Order Equations / 2:
Second Order Linear Equations / 3:
84.
図書
par J.L. Lions
85.
図書
N.P. Bhatia, G.P. Szegö
86.
図書
by Andrew Russell Forsyth
出版情報:
New York : Dover Publications, [1959] 6 v. in 3 ; 21 cm
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87.
図書
[by] Richard C. MacCamy, Victor J. Mizel
88.
図書
[by] Albert L. Rabenstein
89.
図書
[par] Jacqueline Lelong-Ferrand [et] Jean-Marie Arnaudiès
90.
図書
V. Lakshmikantham and S. Leela
91.
図書
Ralph Abraham and Joel Robbin
出版情報:
New York : Benjamin, Inc., 1967 x, 161 p. ; 23 cm
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92.
図書
V. Lakshmikantham, S. Leela, A.A. Martynyuk
出版情報:
Singapore ; Teaneck, N.J. : World Scientific, c1990 viii, 207 p. ; 22 cm
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93.
図書
Aloknath Chakrabarti
出版情報:
New York : Wiley, 1990 viii, 148 p. ; 25 cm
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94.
図書
Garrett Birkhoff, Gian-Carlo Rota
95.
図書
P.L. Sachdev
96.
図書
by M.A. Krasnoselʹskiĭ
97.
図書
B.M. Levitan and V.V. Zhikov ; translated by L.W. Longdon
出版情報:
Cambridge [Cambridgeshire] ; New York : Cambridge University Press, 1982 x, 211 p. ; 24 cm
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98.
図書
by L.È. Èlʹsgolʹc ; [Translated from the Russian by A.A. Brown and J.M. Danskin]
99.
図書
J.D. Murray
出版情報:
Oxford : Clarendon Press, 1974 vii, 140 p. ; 22 cm
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100.
図書
Jane Cronin