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On the existence of nonnegative solutions to an integral equation with applications to boundary value problems

Article ID Journal Published Year Pages File Type
841264 Nonlinear Analysis: Theory, Methods & Applications 2009 20 Pages PDF
Abstract

By the use of a Guo–Krasnoselskii theorem in cones, existence of positive eigenvalues yielding nonnegative or positive solutions to an integral equation is studied. The results are applied to a variety of boundary value problems concerning ordinary differential equations.

Keywords
45C0545M20Nonnegative solutionFixed point theoremBoundary value problemEigenvalue
Related Topics
Physical Sciences and Engineering Engineering Engineering (General)
Preview
On the existence of nonnegative solutions to an integral equation with applications to boundary value problems
Authors
I.K. Purnaras,
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Journal
Nonlinear Analysis: Theory, Methods & Applications
Journal: Nonlinear Analysis: Theory, Methods & Applications
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45C05
45M20
Nonnegative solution
Fixed point theorem
Boundary value problem
Eigenvalue
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