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
M. Faierman
50.
図書
[by] Michael Golomb [and] Merrill Shanks