Positive solutions of a third-order BVP independent of the sign of the Green's function (Q354243)
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scientific article; zbMATH DE number 6189090
| Language | Label | Description | Also known as |
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| English | Positive solutions of a third-order BVP independent of the sign of the Green's function |
scientific article; zbMATH DE number 6189090 |
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Positive solutions of a third-order BVP independent of the sign of the Green's function (English)
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18 July 2013
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A third-order three-point boundary value problem is investigated. Sufficient conditions are derived to ensure the positivity of the solution of the corresponding linear boundary value problem. Then, based on the classical Guo-Krasnoselskii fixed point theorem, the existence of positive solutions for the nonlinear BVP is obtained. The proposed method is useful, in cases when the Green's function changes its sign. An example is studied.
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three-point singular boundary value problem
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third-order differential equation
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positive solution
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fixed point in cones
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Green's functions
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