Ebook: Positive Solutions of Differential, Difference and Integral Equations

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.

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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.

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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.
Content:
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

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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.
Content:
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
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