Screen LibraryDifferential equations：linear, nonlinear, ordinary, partial
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| Main Authors: | |
|---|---|
| Group Author: | ; |
| Published: |
Cambridge University Press,
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| Publisher Address: | Cambridge New York |
| Publication Dates: | 2003. |
| Literature type: | Book |
| Language: | English |
| Subjects: | |
| Carrier Form: | xi, 541 p.: ill. ; 26 cm. |
| ISBN: |
0521816580 (hbk.) 0521016878 (pbk.) |
| Index Number: | O175 |
| CLC: | O175 |
| Call Number: | O175/K521 |
| Contents: |
Includes bibliographical references (p. 534-535) and index. Part one: 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 two: Nonlinear equations and advanced techniques -- 8. Existence, uniqueness, continuity and comparison of solutions of ordinary differential equations -- 9. Nonlinear ordinary differential equations: Phase plane methods -- 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. Introduction to chaotic systems. |