Oscillation of a class of nonlinear neutral difference equations of higher order. (Q1407002)
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scientific article; zbMATH DE number 1976025
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Oscillation of a class of nonlinear neutral difference equations of higher order. |
scientific article; zbMATH DE number 1976025 |
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Oscillation of a class of nonlinear neutral difference equations of higher order. (English)
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7 September 2003
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The authors obtain sufficient conditions for the oscillation of the forced nonlinear neutral difference equation \[ \Delta y(n)+ p(n) G(y(n- k))= f(n) \] using a function \(F(n)\) satisfying \(\Delta^m F(n)= f(n)\). Existence of positive bounded solutions is also established. For the case where \(f(n)\equiv 0\), the behavior of solutions is studied separately.
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oscillation
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forced nonlinear neutral difference equation
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positive bounded solutions
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