Positive solutions of a discontinuous one-dimensional beam equation (Q2045263)
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scientific article; zbMATH DE number 7381204
| Language | Label | Description | Also known as |
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| English | Positive solutions of a discontinuous one-dimensional beam equation |
scientific article; zbMATH DE number 7381204 |
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Positive solutions of a discontinuous one-dimensional beam equation (English)
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12 August 2021
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In this paper, a fourth-order beam equation with a discontinuous nonlinear term is considered. Some sufficient conditions for the existence and multiplicity of positive solutions are established by using a recent generalization of Krasnosel'skii's fixed point theorem in cones.
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fourth-order problem
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positive solution
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Krasnosel'skiĭ theorem
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discontinuous differential equations
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multiplicity result
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