TY - BOOK AU - King,A.C. AU - Otto,S.R. TI - Differential equations: linear, nonlinear, ordinary, partial SN - 9780521670456 (hbk.) : AV - QA371 .K52 2003 PY - 2003/// CY - Cambridge PB - Cambridge University Press KW - Differential equations KW - sears N1 - 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 ER -