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Classification schemes for nonoscillatory solutions of two-dimensional nonlinear difference systems - MaRDI portal

Classification schemes for nonoscillatory solutions of two-dimensional nonlinear difference systems (Q1600379)

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scientific article; zbMATH DE number 1755256
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English
Classification schemes for nonoscillatory solutions of two-dimensional nonlinear difference systems
scientific article; zbMATH DE number 1755256

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    Classification schemes for nonoscillatory solutions of two-dimensional nonlinear difference systems (English)
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    13 June 2002
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    Classification schemes for nonoscillatory solutions of a class of two-dimensional nonlinear difference systems of the form \[ \Delta x_{n}=a_{n}f(y_{n}),\qquad \Delta y_{n}=-b_{n}g(x_{n}) \] are given in terms of their asymptotic magnitudes. Necessary, sufficient and necessary and sufficient conditions for the existence of these solutions are also established.
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    classification schemes
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    nonoscillatory solutions
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    nonlinear difference systems
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    asymptotic
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