Multiplicity of concave and monotone positive solutions for nonlinear fourth-order ordinary differential equations (Q2863551)
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scientific article; zbMATH DE number 6232008
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Multiplicity of concave and monotone positive solutions for nonlinear fourth-order ordinary differential equations |
scientific article; zbMATH DE number 6232008 |
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22 November 2013
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multiplicity
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positive solutions
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fourth-order multi-point boundary value problem
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Green function
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fixed point theorem
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Multiplicity of concave and monotone positive solutions for nonlinear fourth-order ordinary differential equations (English)
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The author proves the existence and multiplicity of positive solutions of a fourth-order multi-point boundary value problem with nonlinearity depending on all order derivatives. The proof of the main results is based upon the constructing the associated Green function and a fixed point theorem.
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