Differential equations : linear, nonlinear, ordinary, partial /
King, A. C.
Differential equations : linear, nonlinear, ordinary, partial / by A.C. King, J. Billingham, and S.R. Otto. - Cambridge ; New York : Cambridge University Press, 2003. - xi, 541 pages : illustrations ; 26 cm.
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.
9780521670456 (hbk.) : $34.78
20207345
GBA3-47176
Differential equations.
Differential equations.
QA371 / .K52 2003
Differential equations : linear, nonlinear, ordinary, partial / by A.C. King, J. Billingham, and S.R. Otto. - Cambridge ; New York : Cambridge University Press, 2003. - xi, 541 pages : illustrations ; 26 cm.
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.
9780521670456 (hbk.) : $34.78
20207345
GBA3-47176
Differential equations.
Differential equations.
QA371 / .K52 2003