Existence of bounded positive solutions for a system of difference equations (Q425484)
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scientific article; zbMATH DE number 6043906
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Existence of bounded positive solutions for a system of difference equations |
scientific article; zbMATH DE number 6043906 |
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Existence of bounded positive solutions for a system of difference equations (English)
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8 June 2012
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systems of difference equations
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bounded positive solutions
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The authors study the system NEWLINE\[NEWLINE\begin{aligned} \Delta[a_n \Delta(x_n+ b_nx_{n-\tau})] &+ f(n, x_{h_{1n}},\dots, x_{h_{kn}}, y_{w_{1n}},\dots, y_{w_{kn}})= c_n,\\ \Delta[p_n \Delta(y_n+ q_ny_{n-\sigma})] &+ g(n, x_{s_{1n}},\dots, s_{s_{kn}}, y_{t_{1n}},\dots, y_{t_{kn}})= r_n\end{aligned}NEWLINE\]NEWLINE under conditions which guarantee the existence of uncountable bounded positive solutions.
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