Titre : | Differential equations : linear, nonlinear, ordinary, partial | Type de document : | document imprimé | Auteurs : | A. C. King, Auteur ; J. Billingham, Auteur ; S. R. Otto, Auteur | Editeur : | Cambridge (GB) : Cambridge University Press | Année de publication : | 2003 | Importance : | XI-541 p. | ISBN/ISSN/EAN : | 0-521-01687-8 | Note générale : | Paperback
| Langues : | Français (fre) | Index. décimale : | 02.30 Function theory, analysis (differential equations), asymptotic analysis, integration, distributions | Résumé : | Table of contents: Preface; Part I. Linear Equations: 1. Variable coefficient, second-order, linear ordinary differential equations; 2. Legendre functions; 3. Bessel functions; 4. Boundary value problems, Green's functions and Sturm-Liouville theory; 5. Fourier series and the Fourier transform; 6. Laplace transforms; 7. Classification Properties and Complex Variable Methods for Second Order Partial Differential equations; Part II. Nonlinear Equations and Advanced Techniques: 8. Existence, uniqueness, continuity and comparison of solutions of ordinary differential equations; 9. Nonlinear ordinary differential equations; 10. Group theoretical methods; 11. Asymptotic methods: basic ideas; 12. Asymptotic methods: differential equations; 13. Stability, instability and bifurcations; 14. Time-optimal control in the phase plane; 15. An introduction to chaotic systems; Appendix 1. Linear algebra; Appendix 2. Continuity and differentiability; Appendix 3. Power series; Appendix 4. Sequences of functions; Appendix 5. Ordinary differential equations; Appendix 6. Complex variables; Appendix 7. A short introduction to MATLAB; Bibliography; Index.
| Note de contenu : | Bibliography, p. 534-535 Index, p. 536-541 Appartient à Paul Clavin
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Differential equations : linear, nonlinear, ordinary, partial [document imprimé] / A. C. King, Auteur ; J. Billingham, Auteur ; S. R. Otto, Auteur . - Cambridge (GB) : Cambridge University Press, 2003 . - XI-541 p. ISBN : 0-521-01687-8 Paperback
Langues : Français ( fre) Index. décimale : | 02.30 Function theory, analysis (differential equations), asymptotic analysis, integration, distributions | Résumé : | Table of contents: Preface; Part I. Linear Equations: 1. Variable coefficient, second-order, linear ordinary differential equations; 2. Legendre functions; 3. Bessel functions; 4. Boundary value problems, Green's functions and Sturm-Liouville theory; 5. Fourier series and the Fourier transform; 6. Laplace transforms; 7. Classification Properties and Complex Variable Methods for Second Order Partial Differential equations; Part II. Nonlinear Equations and Advanced Techniques: 8. Existence, uniqueness, continuity and comparison of solutions of ordinary differential equations; 9. Nonlinear ordinary differential equations; 10. Group theoretical methods; 11. Asymptotic methods: basic ideas; 12. Asymptotic methods: differential equations; 13. Stability, instability and bifurcations; 14. Time-optimal control in the phase plane; 15. An introduction to chaotic systems; Appendix 1. Linear algebra; Appendix 2. Continuity and differentiability; Appendix 3. Power series; Appendix 4. Sequences of functions; Appendix 5. Ordinary differential equations; Appendix 6. Complex variables; Appendix 7. A short introduction to MATLAB; Bibliography; Index.
| Note de contenu : | Bibliography, p. 534-535 Index, p. 536-541 Appartient à Paul Clavin
|
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