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1.

図書
図書
1. Infinite dimensional optimization and control theory (: pbk)
H.O. Fattorini
出版情報: Cambridge : Cambridge University Press, 1999  xv, 798 p. ; 25 cm
シリーズ名: Encyclopedia of mathematics and its applications / edited by G.-C. Rota ; v. 62
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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：
2.

図書
図書
2. Higher-Dimensional systems
John H. Hubbard, Beverly H. West
出版情報: New York : Springer-Verlag, c1995  xiv, 601 p. ; 25 cm
シリーズ名: Texts in applied mathematics ; 18 . Differential equations : a dynamical systems approach ; pt. 2
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3.

図書
図書
3. Continuous symmetries, Lie algebras, differential equations and computer algebra
Willi-Hans Steeb
出版情報: Singapore : World Scientific, c1996  xi, 360 p. ; 23 cm
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4.

図書
図書
4. Ordinary and partial differential equations, volume III : proceedings of the eleventh Dundee Conference, 1990
B.D. Sleeman and R.J. Jarvis, editors
出版情報: Harlow : Longman Scientific & Technical, 1991  219 p. ; 25 cm
シリーズ名: Pitman research notes in mathematics series ; 254
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5.

図書
図書
5. Ordinary differential equations (: New York ; : Berlin)
John H. Hubbard, Beverly H. West
出版情報: New York ; Tokyo : Springer-Verlag, c1991  xviii, 350 p. ; 25 cm
シリーズ名: Texts in applied mathematics ; 5 . Differential equations : a dynamical systems approach ; pt. 1
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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：
6.

図書
図書
6. Product integration with applications to differential equations
John D. Dollard and Charles N. Friedman ; foreword by Felix E. Browder ; appendix by P. R. Masani
出版情報: Reading, Mass. : Addison-Wesley Pub. Co., Advanced Book Program, 1979  xxii, 253 p. ; 24 cm
シリーズ名: Encyclopedia of mathematics and its applications / edited by G.-C. Rota ; v. 10 . Section, Analysis
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7.

図書
図書
7. Ordinary and partial differential equations : with special functions, Fourier series, and boundary value problems (: pbk)
Ravi P. Agarwal, Donal O'Regan
出版情報: New York ; London : Springer, c2009  xiv, 410 p. ; 24 cm
シリーズ名: Universitext
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Preface
Solvable Differential Equations / 1：
Second-Order Differential Equations / 2：
Preliminaries to Series Solutions / 3：
Solution at an Ordinary Point / 4：
Solution at a Singular Point / 5：
Solution at a Singular Point (Cont'd.) / 6：
Legendre Polynomials and Functions / 7：
Chebyshev, Hermite and Laguerre Polynomials / 8：
Bessel Functions / 9：
Hypergeometric Functions / 10：
Piecewise Continuous and Periodic Functions / 11：
Orthogonal Functions and Polynomials / 12：
Orthogonal Functions and Polynomials (Cont'd.) / 13：
Boundary Value Problems / 14：
Boundary Value Problems (Cont'd.) / 15：
Green's Functions / 16：
Regular Perturbations / 17：
Singular Perturbations / 18：
Sturm-Liouville Problems / 19：
Eigenfunction Expansions / 20：
Eigenfunction Expansions (Cont'd.) / 21：
Convergence of the Fourier Series / 22：
Convergence of the Fourier Series (Cont'd.) / 23：
Fourier Series Solutions of Ordinary Differential Equations / 24：
Partial Differential Equations / 25：
First-Order Partial Differential Equations / 26：
Solvable Partial Differential Equations / 27：
The Canonical Forms / 28：
The Method of Separation of Variables / 29：
The One-Dimensional Heat Equation / 30：
The One-Dimensional Heat Equation (Cont'd.) / 31：
The One-Dimensional Wave Equation / 32：
The One-Dimensional Wave Equation (Cont'd.) / 33：
Laplace Equation in Two Dimensions / 34：
Laplace Equation in Polar Coordinates / 35：
Two-Dimensional Heat Equation / 36：
Two-Dimensional Wave Equation / 37：
Laplace Equation in Three Dimensions / 38：
Laplace Equation in Three Dimensions (Cont'd.) / 39：
Nonhomogeneous Equations / 40：
Fourier Integral and Transforms / 41：
Fourier Integral and Transforms (Cont'd.) / 42：
Fourier Transform Method for Partial DEs / 43：
Fourier Transform Method for Partial DEs (Cont'd.) / 44：
Laplace Transforms / 45：
Laplace Transforms (Cont'd.) / 46：
Laplace Transform Method for Ordinary DEs / 47：
Laplace Transform Method for Partial DEs / 48：
Well-Posed Problems / 49：
Verification of Solutions / 50：
References for Further Reading
Index
Preface
Solvable Differential Equations / 1：
Second-Order Differential Equations / 2：
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