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Global attractivity for a class of nonlinear delay difference equations. - MaRDI portal

Global attractivity for a class of nonlinear delay difference equations. (Q698941)

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scientific article; zbMATH DE number 1810315
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Global attractivity for a class of nonlinear delay difference equations.
scientific article; zbMATH DE number 1810315

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    Global attractivity for a class of nonlinear delay difference equations. (English)
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    2002
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    The author studies the global attractivity of the delay difference equation \[ \Delta x_n+a_nx_n+f\left( n,\sum_{s=-k}^0q_{s,n}x_{s+n}\right) =0, \] which includes the discrete type of many ecological equations. Sufficient conditions that guarantee every solution to converge to zero are obtained, which improve and generate the known results.
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    global attractivity
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    nonlinear delay difference equation
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    ecological equation
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