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Constant-Sign Solutions of Systems of Integral Equations

  • Book
  • © 2013

Overview

Authors:
  1. Ravi P. Agarwal

    1. Department of Mathematics Chairman, Texas A&M University - Kingsville, Kingsville, USA

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    You can also search for this author in PubMed   Google Scholar

  2. Donal O’Regan

    1. School of Mathematics, National University of Ireland, Galway, Galway, Ireland

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    You can also search for this author in PubMed   Google Scholar

  3. Patricia J. Y. Wong

    1. School of Electrical & Electron. Engng, Nanyang Technological University, Singapore, Singapore

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    You can also search for this author in PubMed   Google Scholar

  • Features numerous examples

  • Contains a wealth of new results

  • Fills a gap in the literature

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Table of contents (20 chapters)

  1. Front Matter

    Pages i-xiv
    Download chapter PDF

  2. Introduction and Preliminaries

    • Ravi P. Agarwal, Donal O’Regan, Patricia J. Y. Wong
    Pages 1-7

  3. System of Fredholm Integral Equations: Existence of a Constant-Sign Solution

    • Ravi P. Agarwal, Donal O’Regan, Patricia J. Y. Wong
    Pages 9-50

  4. System of Fredholm Integral Equations: Eigenvalues

    • Ravi P. Agarwal, Donal O’Regan, Patricia J. Y. Wong
    Pages 51-103

  5. System of Fredholm Integral Equations: Triple Constant-Sign Solutions

    • Ravi P. Agarwal, Donal O’Regan, Patricia J. Y. Wong
    Pages 105-145

  6. System of Fredholm Integral Equations: Existence of a Constant-Sign L p Solution

    • Ravi P. Agarwal, Donal O’Regan, Patricia J. Y. Wong
    Pages 147-174

  7. System of Fredholm Integral Equations: Semipositone and Singular Case

    • Ravi P. Agarwal, Donal O’Regan, Patricia J. Y. Wong
    Pages 175-207

  8. Systems of Fredholm and Volterra Integral Equations: Integrable Singularities

    • Ravi P. Agarwal, Donal O’Regan, Patricia J. Y. Wong
    Pages 209-230

  9. Systems of Higher Order Boundary Value Problems: Integrable Singularities

    • Ravi P. Agarwal, Donal O’Regan, Patricia J. Y. Wong
    Pages 231-269

  10. System of Volterra Integral Equations: Integrable Singularities

    • Ravi P. Agarwal, Donal O’Regan, Patricia J. Y. Wong
    Pages 271-297

  11. Systems of Fredholm and Volterra Integral Equations: The Singular Case

    • Ravi P. Agarwal, Donal O’Regan, Patricia J. Y. Wong
    Pages 299-326

  12. System of Singular Fredholm Integral Equations

    • Ravi P. Agarwal, Donal O’Regan, Patricia J. Y. Wong
    Pages 327-341

  13. System of Singular Integral Equations of Hammerstein Type

    • Ravi P. Agarwal, Donal O’Regan, Patricia J. Y. Wong
    Pages 343-385

  14. System Modeling the Spread of Interdependent Epidemics: Constant-Sign Periodic Solutions

    • Ravi P. Agarwal, Donal O’Regan, Patricia J. Y. Wong
    Pages 387-411

  15. System of Hill’s Equations: Constant-Sign Periodic Solutions

    • Ravi P. Agarwal, Donal O’Regan, Patricia J. Y. Wong
    Pages 413-441

  16. System of Integral Equations: Constant-Sign Periodic and Almost Periodic Solutions

    • Ravi P. Agarwal, Donal O’Regan, Patricia J. Y. Wong
    Pages 443-480

  17. System of Fredholm Integral Equations: Solutions in Orlicz Space

    • Ravi P. Agarwal, Donal O’Regan, Patricia J. Y. Wong
    Pages 481-504

  18. System of Volterra Integral Equations: Constant-Sign Solutions in Orlicz Spaces

    • Ravi P. Agarwal, Donal O’Regan, Patricia J. Y. Wong
    Pages 505-537

  19. System of Urysohn Integral Equations: Existence of a Constant-Sign Solution

    • Ravi P. Agarwal, Donal O’Regan, Patricia J. Y. Wong
    Pages 539-570

  20. System of Fredholm Integral Equations: Existence Results via Brezis–Browder Arguments

    • Ravi P. Agarwal, Donal O’Regan, Patricia J. Y. Wong
    Pages 571-614
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Keywords

About this book

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.    This unique book will be welcomed by mathematicians working on integral equations, spectral theory, and on applications of fixed point theory and boundary value problems.    

Reviews

From the book reviews:

“The book is devoted to the study of nonlinear Volterra and Fredholm integral equations. This extremely clear, well-written and self-contained monograph offers to a wide class of readers a valuable theoretical foundation in the theory of nonlinear integral equations and their applications to nonlinear boundary value problems encountered in various fields of the physical, chemical, and biological sciences. … Throughout the book many mathematical examples are included to illustrate the theory.” (D. G. Natroshvili, Mathematical Reviews, June, 2014)

Authors and Affiliations

  • Department of Mathematics Chairman, Texas A&M University - Kingsville, Kingsville, USA

    Ravi P. Agarwal

  • School of Mathematics, National University of Ireland, Galway, Galway, Ireland

    Donal O’Regan

  • School of Electrical & Electron. Engng, Nanyang Technological University, Singapore, Singapore

    Patricia J. Y. Wong

Bibliographic Information

  • Book Title: Constant-Sign Solutions of Systems of Integral Equations

  • Authors: Ravi P. Agarwal, Donal O’Regan, Patricia J. Y. Wong

  • DOI: https://doi.org/10.1007/978-3-319-01255-1

  • Publisher: Springer Cham

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Springer International Publishing Switzerland 2013

  • Hardcover ISBN: 978-3-319-01254-4Published: 04 October 2013

  • Softcover ISBN: 978-3-319-34405-8Published: 23 August 2016

  • eBook ISBN: 978-3-319-01255-1Published: 21 September 2013

  • Edition Number: 1

  • Number of Pages: XIV, 648

  • Topics: Integral Equations, Ordinary Differential Equations

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