Collins, Peter J.
Differential and integral equations / Peter J. Collins. - Oxford : Oxford University Press, c2006. - xii, 372 p. ; 25 cm.
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.
0199297894 (pbk.)
9780199297894 (pbk.)
Differential equations.
Integral equations.
515.35 / COL
Differential and integral equations / Peter J. Collins. - Oxford : Oxford University Press, c2006. - xii, 372 p. ; 25 cm.
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.
0199297894 (pbk.)
9780199297894 (pbk.)
Differential equations.
Integral equations.
515.35 / COL