Stability of nonautonomous difference equations with several delays |
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Authors: | A. Yu. Kulikov V. V. Malygina |
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Affiliation: | (1) Perm State Technical University, 614000, Perm, Komsomol’skii pr. 29a, Perm, 614000, Russia |
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Abstract: | We consider the possibility to construct efficient stability criteria for solutions to difference equations with variable coefficients. We prove that one can associate a difference equation with a certain functional differential equation, whose solution has the same asymptotic behavior. We adduce examples, demonstrating the essential character of conditions of the obtained theorems and the exactness of the constant 3/2 which defines the boundary of the stability domain. |
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Keywords: | difference equation fundamental solution stability |
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