Positive solutions for a fourth order discrete \(p\)-Laplacian boundary value problem (Q2868877)
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scientific article; zbMATH DE number 6239708
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Positive solutions for a fourth order discrete \(p\)-Laplacian boundary value problem |
scientific article; zbMATH DE number 6239708 |
Statements
19 December 2013
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\(p\)-Laplacian equation
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positive solution
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fixed point index
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Jensen's inequality
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fourth-order discrete bondary value problem
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Positive solutions for a fourth order discrete \(p\)-Laplacian boundary value problem (English)
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The author studies the existence of positive solutions for a fourth-order discrete bondary value problem with \(p\)-Laplacian operator. He uses the methodology in his earlier work and improves and extends those results for the \(p\)-Laplacian boundary value problem NEWLINE\[NEWLINE \Delta^2 [ \varphi_p( \Delta^2 u(t-2))] = f(t,u(t)),\quad t \in \mathbb{T}_2, NEWLINE\]NEWLINE NEWLINE\[NEWLINE u(1) =u(T+1) = \Delta^2 u(0)= \Delta^2 u(T) =0. NEWLINE\]
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