Synopses & Reviews
In analysing nonlinear phenomena many mathematical models give rise to problems for which only nonnegative solutions make sense. In the last few years this discipline has grown dramatically. This state-of-the-art volume offers the authors' recent work, reflecting some of the major advances in the field as well as the diversity of the subject. Audience: This volume will be of interest to graduate students and researchers in mathematical analysis and its applications, whose work involves ordinary differential equations, finite differences and integral equations.
Synopsis
In analysing nonlinear phenomena many mathematical models give rise to problems for which only nonnegative solutions make sense. In the last few years this discipline has grown dramatically. This state-of-the-art volume offers the authors' recent work, reflecting some of the major advances in the field as well as the diversity of the subject. Audience: This volume will be of interest to graduate students and researchers in mathematical analysis and its applications, whose work involves ordinary differential equations, finite differences and integral equations.
Description
Includes bibliographical references (p. [395]-411) and indexes.
Table of Contents
Preface.
Ordinary Differential Equations. 1. First Order Initial Value Problems.
2. Second Order Initial Value Problems.
3. Positone Boundary Value Problems.
4. Semi-positone Boundary Value Problems.
5. Semi-Infinite Interval Problems.
6. Mixed Boundary Value Problems.
7. Singular Boundary Value Problems.
8. General Singular and Nonsingular Boundary Value Problems.
9. Quasilinear Boundary Value Problems.
10. Delay Boundary Value Problems.
11. Coupled System of Boundary Value Problems.
12. Higher Order Sturm-Liouville Boundary Value Problems.
13. (n,p) Boundary Value Problems.
14. Focal Boundary Value Problems.
15. General Focal Boundary Value Problems.
16. Conjugate Boundary Value Problems.
Difference Equations. 17. Discrete Second Order Boundary Value Problems.
18. Discrete Higher Order Sturm-Liouville Boundary Value Problems.
19. Discrete
(n,p) Boundary Value Problems.
20. Discrete Focal Boundary Value Problems.
21. Discrete Conjugate Boundary Value Problems.
Integral and Integrodifferential Equations. 22. Volterra Integral Equations.
23. Hammerstein Integral Equations.
24. First Order Integrodifferential Equations. References. Authors Index. Subject Index.