Differential equations
Subtitle: linear, nonlinear, ordinary, partial
By: A.C. King, J. Billingham, and S.R. Otto
Contributors: Billingham, J.; Otto, S. R. (Stephen Robert)
Publisher: Cambridge University Press
Published: 2003
Place of publication: Cambridge; New York
Language: eng
Format: [electronic resource] :
Number of pages: 541
ISBN-13: 9780511078316; 9780511076749
Subjects: Differential equations; Differential Equations; Equac ʹo es diferenciais ordina rias (ana lise;textos elementares); Differentialgleichung; General; Equac ʹo es diferenciais (ana lise;textos elementares); MATHEMATICS; Equac ʹo es diferenciais parciais (ana lise;textos elementares); E quations diffe rentielles; Sistemas dina micos
Description: The authors focus on constructing solutions analytically, and interpreting their meaning; MATLAB is used extensively to illustrate the material. The many worked examples, based on interesting real world problems, the large selection of exercises, including several lengthier projects, the broad coverage, and clear and concise presentation will appeal to undergraduates.
Notes: Includes bibliographical references (p. 534-535) and index.

Description based on print version record.
Table of contents: title: Part one: Linear equations; title: 1. Variable coefficient, second order, linear, ordinary differential equations; title: 2. Legendre functions; title: 3. Bessel functions; title: 4. Boundary value problems, Green's functions and Sturm-Liouville theory; title: 5. Fourier series and the fourier transform; title: 6. Laplace transforms; title: 7. Classification, properties and complex variable methods for second order partial differential equations; title: Part two: Nonlinear equations and advanced techniques; title: 8. Existence, uniqueness, continuity and comparison of solutions of ordinary differential equations; title: 9. Nonlinear ordinary differential equations: Phase plane methods; title: 10. Group theoretical methods; title: 11. Asymptotic methods: Basic ideas; title: 12. Asymptotic methods: Differential equations; title: 13. Stability, instability and bifurcations; title: 14. Time-optimal control in the phase plane; title: 15. Introduction to chaotic systems.