Fundamentals of differential equations and boundary value problems /
R. Kent Nagle and Edward B. Saff
- Second Edition
- Reading, Massachusetts : Addision-Wesley Publishing Company, c1996
- xx, 834, 10, 38, 6 pages : color illustrations ; 24 cm .
Includes index.
1. Introduction -- 2. First-Order Differential Equation -- Chapter 3. Mathematical Models and Numerical Methods Involving First Order Equation --Chapter 4. Linear Second Order Equations -- Chapter 5. Applications and Numerical Method for Second Order Equations and System -- 6. Theory of Higher-Order Linear Differential Equations -- 7. Laplace Transforms -- 8. Series Solution of Differential Equations -- 9. Matrix Methods for Linear System -- 10. Partial Differential Equations. -- 11.Eigenvalue Problems and Sturm-liouville Equations -- 12.Stability of Autonomous System -- 13. Existence and Uniqueness Theory --
It is designed to serve the needs of a one- or - two-semester course in basic theory as well as applications of differential equations. For this purpose, we have augmented our original text by including chapters on Eigenvalue Problems and Sturm-Liouville, Equations and stability.