Fixed sign solutions of second-order difference equations with Neumann boundary conditions (Q1827172)
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scientific article; zbMATH DE number 2082220
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Fixed sign solutions of second-order difference equations with Neumann boundary conditions |
scientific article; zbMATH DE number 2082220 |
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Fixed sign solutions of second-order difference equations with Neumann boundary conditions (English)
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6 August 2004
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For the difference equation \(u_{k+2}= f(k,u_k,u_{k+1})\) with the conditions \(\Delta u(0)= A\), \(\Delta u(N)= B\) the existence of a solution is discussed by means of order lower and upper solutions. In particular cases the sign of the solution is studied.
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difference equation
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lower and upper solutions
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Monotone iterative technique
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Green functions
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Maximum principles
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fixed sign solutions
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