Positive solutions for nonlinear three-point boundary value problems on time scales (Q703885)
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scientific article; zbMATH DE number 2126903
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Positive solutions for nonlinear three-point boundary value problems on time scales |
scientific article; zbMATH DE number 2126903 |
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Positive solutions for nonlinear three-point boundary value problems on time scales (English)
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12 January 2005
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The authors generalize some known results on positive solutions of a three-point boundary value problem related to the dynamic equation \[ u^{\Delta\nabla} (t) + a(t) f(t,u(t)) = 0. \] The symbol \(\Delta\nabla\) denotes the natural Laplace operator on time scales (arbitrary closed subsets of the reals). The methods used in the proofs are based on Leggett--Williams/ Krasnoselskii fixed-point techniques in cones.
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time scales
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positive solutions
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cone fixed-point theorem
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