The existence of countably many positive solutions for nonlinear singular \(m\)-point boundary value problems on time scales (Q953390)
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scientific article; zbMATH DE number 5370034
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The existence of countably many positive solutions for nonlinear singular \(m\)-point boundary value problems on time scales |
scientific article; zbMATH DE number 5370034 |
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The existence of countably many positive solutions for nonlinear singular \(m\)-point boundary value problems on time scales (English)
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20 November 2008
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The authors introduce a version of the \(p\)-Laplacian operator for equations on time scales and then consider the existence of countably many positive solutions to \(m\)-point boundary value problems involving this operator. They then use traditional methods like fixed point index theory and a new fixed point theorem in cones to prove the main results.
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countably many positive solutions
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\(m\)-point boundary value problems
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time scales
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singularity
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fixed-point theorem
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cone
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\(p\)-Laplacian operator
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