Three-point boundary value problems for difference equations (Q1770693)
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scientific article; zbMATH DE number 2153522
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Three-point boundary value problems for difference equations |
scientific article; zbMATH DE number 2153522 |
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Three-point boundary value problems for difference equations (English)
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7 April 2005
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The authors consider the discrete nonlinear difference equation \(\Delta^2x_{k-1} +f(x_k)=0\) together with a three point boundary condition \(x_0=0\), \(x_{n+1} = ax_\ell+b\). By means of Krasnoselskii's fixed point theorem they prove results on (non-)existence and uniqueness of positive solutions. Finally they point out an application to a discrete model of heat conduction.
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three point boundary value problem
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fixed point theorem
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discrete nonlinear difference equation
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positive solutions
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