On the existence of nonnegative solutions to an integral equation with applications to boundary value problems (Q1029430)
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scientific article; zbMATH DE number 5577456
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the existence of nonnegative solutions to an integral equation with applications to boundary value problems |
scientific article; zbMATH DE number 5577456 |
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On the existence of nonnegative solutions to an integral equation with applications to boundary value problems (English)
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10 July 2009
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The author investigates the existence of positive eigenvalues yielding nonnegative or positive solutions to an integral equation by employing a Guo-Krasnoselskii theorem in cones. The Guo-Krasnoselskii theorem used in this study proves itself to be a powerful tool in the investigation of the eigenvalue problem presented in this article. The results are applied to a variety of boundary value problems concerning ordinary differential equations.
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integral equation
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nonnegative solution
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eigenvalue
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fixed point theorem
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boundary value problem
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cones
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