Monotone method for boundary value problem of functional difference equations (Q2906058)
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scientific article; zbMATH DE number 6073341
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Monotone method for boundary value problem of functional difference equations |
scientific article; zbMATH DE number 6073341 |
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28 August 2012
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fourth-order difference equation
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existence of solution
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lower solution
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upper solution
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discrete boundary value problem
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0.98044026
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0.94389236
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0.93943876
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0.93710697
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0.92216814
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0.91666067
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Monotone method for boundary value problem of functional difference equations (English)
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The author investigates the existence of solutions for the fourth-order discrete boundary value problem NEWLINE\[NEWLINE\begin{gathered} \Delta^4 u(t-2)=f(t,u(t),\Delta^2(t-1)),\quad 1\leq t\leq N,\\ u(0)=0=u(N),\quad u(-1)+u(1)=0=u(N-1)+u(N+1),\end{gathered}NEWLINE\]NEWLINE see Theorems 3.1 and 3.2. An illustrative example is provided in the final section.
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