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Статья
2016

Asymptotics of solutions of difference equations with delays


V. V. MalyginaV. V. Malygina, K. M. ChudinovK. M. Chudinov
Русская математика
https://doi.org/10.3103/S1066369X16070082
Abstract / Full Text

We consider a linear scalar difference equation with several variable delays and constant coefficients. The coefficients and maximum admissible values of delays are supposed to be the set of parameters that define a family of equations of the investigated class. We obtain effective necessary and sufficient conditions of the uniform and exponential stability of solutions to all equations of the family, as well as the conditions of the sign-definiteness and monotonicity of stable solutions.

Author information
  • Perm National Research Polytechnic University, Komsomol’skii pr. 29, Perm, 614990, RussiaV. V. Malygina & K. M. Chudinov
References
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