Multiple nonnegative solutions of systems with coupled nonlinear boundary conditions (Q2922240)
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scientific article; zbMATH DE number 6353366
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Multiple nonnegative solutions of systems with coupled nonlinear boundary conditions |
scientific article; zbMATH DE number 6353366 |
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Multiple nonnegative solutions of systems with coupled nonlinear boundary conditions (English)
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9 October 2014
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fixed point index
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cone
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nonnegative solution
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nonlinear boundary conditions
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coupled boundary conditions
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The authors present a theory for the existence of positive solution for a fairly general class of systems of ODEs subject to nonlinear, nonlocal boundary conditions (BCs). Using the theory of fixed point index, they investigated the existence and multiplicity of positive solutions for the perturbed Hammerstein integral equations. Then, the results are applied to coupled systems of boundary value problems.
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