TY  - BOOK
AU  - Collins,Peter J.
TI  - Differential and integral equations
SN  - 0199297894 (pbk.)
U1  - 515.35 
PY  - 2006///
CY  - Oxford
PB  - Oxford University Press
KW  - Differential equations
KW  - Integral equations
N1  - Includes bibliographical references and index; How to use this book. - Prerequisites. - 1. Integral equations and Picard's method. - 2. Existence and uniqueness. - 3. The homogeneous linear equation and Wronskians. - 4. The non-homogeneous linear equation: Variations of parameters and Green's functions. - 5. First-order partial differential equations. - 6. Second-order partial differential equations. - 7. The diffusion and wave equations and the equation of Laplace. - 8. The Fredholm alternative. - 9. Hilbert-Schmidt theory. - 10. Iterative methods and Neumann series. - 11. The calculus of variations. - 12. The Sturm-Liouville equation. - 13. Series solutions. - 14. Transform methods. - 15. Phase-plane analysis. - Appendix: The solution of some elementary ordinary differential equations. - Bibliography. - Index
ER  -