Positive solutions to the singular \(p\)-Laplacian BVPs with sign-changing nonlinearities and higher-order derivatives in Banach spaces on time scales (Q652126)
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scientific article; zbMATH DE number 5990098
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Positive solutions to the singular \(p\)-Laplacian BVPs with sign-changing nonlinearities and higher-order derivatives in Banach spaces on time scales |
scientific article; zbMATH DE number 5990098 |
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Positive solutions to the singular \(p\)-Laplacian BVPs with sign-changing nonlinearities and higher-order derivatives in Banach spaces on time scales (English)
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19 December 2011
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First the authors establish a fixed point theorem on monotone operators and the Ascoli-Arzela's theorem on time scales. By using these theorems, they establish existence criteria for positive solutions of a multi-point Dirichlet-Robin BVP in Banach spaces on time scales with singular sign-changing nonlinearities and higher-order derivatives. Finally, they present an example to illustrate the results obtained.
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boundary value problems
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time scales
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fixed point
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delta derivative
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positive solution
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partial ordering
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\(p\)-Laplacian
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Ascoli-Arzela's theorem
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