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Constant-Sign Solutions of Systems of Integral Equations

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...

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Bibliographic Details
Main Authors: Agarwal, Ravi P. (Author), ORegan, Donal. (Author), Wong, Patricia J. Y. (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic
Language:English
Published: Cham : Springer International Publishing : Imprint: Springer, 2013.
Subjects:
Mathematics.
Integral equations.
Differential Equations.
Integral Equations.
Ordinary Differential Equations.
Online Access:https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-3-319-01255-1
Table of Contents:
  • Introduction and Preliminaries
  • System of Fredholm Integral Equations: Existence of a Constant-Sign Solution
  • System of Fredholm Integral Equations: Eigenvalues
  • System of Fredholm Integral Equations: Triple Constant-Sign Solutions
  • System of Fredholm Integral Equations: Existence of a Constant-Sign Lp Solution
  • System of Fredholm Integral Equations: Semipositone and Singular Case
  • Systems of Fredholm and Volterra Integral Equations: Integrable Singularities
  • Systems of Higher Order Boundary Value Problems: Integrable Singularities
  • System of Volterra Integral Equations: Integrable Singularities
  • Systems of Fredholm and Volterra Integral Equations: the Singular Case
  • System of Singular Fredholm Integral Equations
  • System of Singular Integral Equations of Hammerstein Type
  • System Modeling the Spread of Interdependent Epidemics: Constant-Sign Periodic Solutions
  • System of Hills Equations: Constant-Sign Periodic Solutions
  • System of Integral Equations: Constant-Sign Periodic and Almost Periodic Solutions
  • System of Fredholm Integral Equations: Solutions in Orlicz Spaces
  • System of Volterra Integral Equations: Constant-Sign Solutions in Orlicz Spaces
  • System of Urysohn Integral Equations: Existence of a Constant-Sign Solution
  • System of Fredholm Integral Equations: Existence Results via Brezis-Browder Arguments
  • System of Volterra Integral Equations: Existence Results via Brezis-Browder Arguments
  • Bibliography
  • Subject Index.

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