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Positive solutions to semi-positone fourth-order \(\phi \)-Laplacian BVPs - MaRDI portal

Positive solutions to semi-positone fourth-order \(\phi \)-Laplacian BVPs (Q2358767)

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Positive solutions to semi-positone fourth-order \(\phi \)-Laplacian BVPs
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    Positive solutions to semi-positone fourth-order \(\phi \)-Laplacian BVPs (English)
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    16 June 2017
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    This work is devoted to proving existence of positive solutions to a fourth-order semipositone \(\phi\)-Laplacian boundary problem. The nonlinearity may have time-singularity and change sign. Existence results are proved using the Krasnosel'skii and the Leggett-Williams fixed point theorems. Several examples are provided.
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    semipositone
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    \(\phi\)-Laplacian
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    fourth-order boundary value problem
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    fixed point theorems
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    positive solutions
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