Constant-Sign Solutions of Systems of Integral Equations

Publisher Springer

Format

eBook

2nd Edition 1st Edition

Quantity

Add New

Publisher

Springer

Volume

Copyright

2013

ISBN13

9783319012551

Release

Format

eBook

Grade Level

College Freshman - College Senior

DDC
TBD

Overview

This monograph provides a complete and self-contained account of the theory, methods, and applications of constant-sign solutions of integral equations. In particular, the focus is on different systems of Volterra and Fredholm equations. The presentation is systematic and the material is broken down into several concise chapters. An introductory chapter covers the basic preliminaries. Throughout the book many examples are included to illustrate the theory. The book contains a wealth of results that are both deep and interesting.\xa0\xa0This unique book will be welcomed by mathematicians working on integral equations, spectral theory, and on applications of fixed point theory and boundary value problems. \xa0\xa0
Front Cover.
Half Title Page.
Title Page.
Copyright Page.
Dedication.
Preface.
Contents.
1: Introduction and Preliminaries.
2: System of Fredholm Integral Equations: Existence of a Constant-Sign Solution.
3: System of Fredholm Integral Equations: Eigenvalues.
4: System of Fredholm Integral Equations: Triple Constant-Sign Solutions.
5: System of Fredholm Integral Equations: Existence of a Constant-Sign Lp Solution.
6: System of Fredholm Integral Equations: Semipositone and Singular Case.
7: Systems of Fredholm and Volterra Integral Equations: Integrable Singularities.
8: Systems of Higher Order Boundary Value Problems: Integrable Singularities.
9: System of Volterra Integral Equations: Integrable Singularities.
10: Systems of Fredholm and Volterra Integral Equations: The Singular Case.
11: System of Singular Fredholm Integral Equations.
12: System of Singular Integral Equations of Hammerstein Type.
13: System Modeling the Spread of Interdependent Epidemics: Constant-Sign Periodic Solutions.
14: System of Hill's Equations: Constant-Sign Periodic Solutions.
15: System of Integral Equations: Constant-Sign Periodic and Almost Periodic Solutions.
16: System of Fredholm Integral Equations: Solutions in Orlicz Space.
17: System of Volterra Integral Equations: Constant-Sign Solutions in Orlicz Spaces.
18: System of Urysohn Integral Equations: Existence of a Constant-Sign Solution.
19: System of Fredholm Integral Equations: Existence Results via Brezis-Browder Arguments.
20: System of Volterra Integral Equations: Existence Results via Brezis—Browder Arguments.
References.
Index.
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Constant-Sign Solutions of Systems of Integral Equations

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