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1.

図書

図書
by Philip Franklin
出版情報: New York : J. Wiley , London : Chapman & Hall, 1933  vii, 299 p. ; 23 cm
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2.

図書

図書
Harry Hochstadt
出版情報: New York : Holt, Rinehart and Winston, c1964  viii, 294 p ; 24 cm
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3.

図書

図書
by K.O. Friedrichs ; notes by P. Berg, W. Hirsch, P. Treuenfels
出版情報: London : Nelson, 1967  ix, 205 p. ; 24 cm
シリーズ名: Notes on mathematics and its applications
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4.

図書

図書
by Max Morris and Orley E. Brown
出版情報: New York : Prentice-Hall, inc., 1933  xii, 409 p ; 19 cm
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5.

図書

図書
by Daniel A. Murray
出版情報: New York : Longmans, Green, and co., 1922  xvi, 236 p ; 19 cm
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6.

図書

図書
V.I. Arnold ; translated and edited by Richard A. Silverman
出版情報: Cambridge : MIT Press, c1973  viii, 280 p. ; 23 cm
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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:
7.

図書

図書
edited by G.I. Marchuk
出版情報: Oxford : Pergamon Press, 1982  viii, 156 p. ; 24 cm
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8.

図書

図書
Morris W. Hirsch and Stephen Smale
出版情報: New York : Academic Press, c1974  xi, 358 p. ; 23 cm
シリーズ名: Pure and applied mathematics ; v. 60
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目次情報: 続きを見る
Preface
First Examples
Newton's Equation and Kepler's Law
Linear Systems with Constant Coeffecients and Real Eigenvalues
Linear Systems with Constant Coefficients and Complex Eigenvalues
Linear Systems and Exponentials of Operators
Linear Systems and Canonical Forms of Operators
Contractions and Generic Properties of Operators
Fundamental Theory
Stability of Equilibria
Differential Equations for Electrical Circuits
The Poincare-Bendixson Theorem
Ecology
Periodic Attractors
Classical Mechanics
Nonautonomous Equations and Differentiability of Flows
Perturbation Theory and Structural Stability
Elementary Facts
Polynomials
On Canonical Forms
The Inverse Function Theorem
References
Answers to Selected Problems
Index
Preface
First Examples
Newton's Equation and Kepler's Law
9.

図書

図書
R. Gabasov, F. Kirillova ; translated by John L. Casti
出版情報: New York : M. Dekker, c1976  xlvi, 640 p. ; 24 cm
シリーズ名: Control and systems theory / editor, Jerry M. Mendel ; associate editors, Karl J. Aström, Michael Athans, David G. Luenberger ; v. 3
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10.

図書

図書
[By] E. A. Barbashin. Translated from Russian by Transcripta Service, London. Ed. by T. Lukes
出版情報: Groningen : Wolters-Noordhoff, [1970]  223 p ; 23 cm
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