Existence and approximation of solutions for first-order discontinuous difference equations with nonlinear global conditions in the presence of lower and upper solutions (Q1975327)
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scientific article; zbMATH DE number 1428544
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Existence and approximation of solutions for first-order discontinuous difference equations with nonlinear global conditions in the presence of lower and upper solutions |
scientific article; zbMATH DE number 1428544 |
Statements
Existence and approximation of solutions for first-order discontinuous difference equations with nonlinear global conditions in the presence of lower and upper solutions (English)
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9 April 2000
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For the difference equation \[ \Delta x(k-1)= f(k,x(k)),\quad k\in\{1,\dots, N\}, \] subject to a nonlinear condition \(B(x(0), x)= 0\) and given lower and upper solutions conditions are established such that there exists a solution which is included by the latter ones. Also, some negative results are proved.
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first-order discontinuous difference equations
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nonlinear global conditions
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lower and upper solutions
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including theorems
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0.91110414
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0.91041636
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0.9043138
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0.89149797
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0.88998497
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0.88951945
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