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This article is cited in 3 scientific papers (total in 3 papers)
Differentical equations, dynamical systems and optimal control
Estimates for solutions of one class to systems of nonlinear differential equations with distributed delay
T. Yskakab a Sobolev Institute of Mathematics, 4, Koptyuga ave., Novosibirsk, 630090, Russia
b Novosibirsk State University 1, Pirogova str., Novosibirsk, 630090, Russia
Abstract:
In the paper we consider a system of nonlinear differential equations with distributed delay and periodic coefficients in linear terms. Sufficient conditions for exponential stability of the zero solution are established, estimates that characterize the rate of decay of solutions at infinity are obtained, and attraction sets of the zero solution are indicated. Similar results are obtained in the case of small perturbations in linear terms.
Keywords:
exponential stability, Lyapunov - Krasovskii functional, nonlinear equation, distributed delay, periodic coefficients, perturbations in linear terms.
Received August 24, 2020, published December 25, 2020
Citation:
T. Yskak, “Estimates for solutions of one class to systems of nonlinear differential equations with distributed delay”, Sib. Èlektron. Mat. Izv., 17 (2020), 2204–2215
Linking options:
https://www.mathnet.ru/eng/semr1340 https://www.mathnet.ru/eng/semr/v17/p2204
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Abstract page: | 182 | Full-text PDF : | 78 | References: | 9 |
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