On multiple solutions of a system of \(m\) discrete boundary value problems (Q2722652)
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scientific article; zbMATH DE number 1613282
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On multiple solutions of a system of \(m\) discrete boundary value problems |
scientific article; zbMATH DE number 1613282 |
Statements
2 July 2001
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multiple solutions
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systems of difference equations
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boundary value problems
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fixed-sign solution
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0.9389242
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0.9366938
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0.9355684
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0.93426955
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0.9293883
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0.9277743
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0.9243455
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0.9239945
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0.9237275
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On multiple solutions of a system of \(m\) discrete boundary value problems (English)
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For the boundary value problem NEWLINE\[NEWLINE\Delta^nu_i (k)+q_i \bigl(k, u_1(k), \dots,u_m(k) \bigr)=0,\;0\leq k\leq N,NEWLINE\]NEWLINE NEWLINE\[NEWLINE\Delta^j u_i(0)= \Delta^{p_i} u_i(N+n-p_i),\;0\leq j\leq n-2,\;1\leq i\leq m,NEWLINE\]NEWLINE where \(1\leq n-1\leq N\) and \(1\leq p_i\leq n-1\), conditions are given such that one fixed-sign solution exists, and two fixed-sign solutions, respectively.
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