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.
Author(s): Ravi P. Agarwal, Donal O’Regan, Patricia J. Y. Wong (auth.)
Edition: 1
Publisher: Springer Netherlands
Year: 1999
Language: English
Pages: 418
Tags: Ordinary Differential Equations; Difference and Functional Equations; Integral Equations
Front Matter....Pages i-xi
First Order Initial Value Problems....Pages 1-10
Second Order Initial Value Problems....Pages 11-18
Positone Boundary Value Problems....Pages 19-28
Semi-positone Boundary Value Problems....Pages 29-39
Semi—Infinite Interval Problems....Pages 40-46
Mixed Boundary Value Problems....Pages 47-62
Singular Boundary Value Problems....Pages 63-85
General Singular and Nonsingular Boundary Value Problems....Pages 86-105
Quasilinear Boundary Value Problems....Pages 106-109
Delay Boundary Value Problems....Pages 110-118
Coupled System of Boundary Value Problems....Pages 119-130
Higher Order Sturm—Liouville Boundary Value Problems....Pages 131-189
( n, p ) Boundary Value Problems....Pages 190-209
Focal Boundary Value Problems....Pages 210-221
General Focal Boundary Value Problems....Pages 222-235
Conjugate Boundary Value Problems....Pages 236-260
Discrete Second Order Boundary Value Problems....Pages 261-278
Discrete Higher Order Sturm-Liouville Boundary Value Problems....Pages 279-314
Discrete ( n, p ) Boundary Value Problems....Pages 315-324
Discrete Focal Boundary Value Problems....Pages 325-352
Discrete Conjugate Boundary Value Problems....Pages 353-369
Volterra Integral Equations....Pages 370-380
Hammerstein Integral Equations....Pages 381-385
First Order Integrodifferential Equations....Pages 386-394
Back Matter....Pages 395-417
