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A method of constructing almost periodic solutions to a system of neutral type with linear delay
B. G. Grebenshchikov Ural Federal University named after the First President of Russia B. N. Yeltsin, Ekaterinburg
Abstract:
Under consideration is the possibility of constructing an almost periodic solution for one inhomogeneous system of linear differential equations with delay that is a linear function of the argument (time) under some assumptions about the right-hand side of the system. This solution is proved to be asymptotically stable. Also, we study the existence of an almost periodic solution to another system without neutral terms; in this event the solution is stable.
Received: 04.07.2018 Revised: 30.08.2018 Accepted: 19.12.2018
Citation:
B. G. Grebenshchikov, “A method of constructing almost periodic solutions to a system of neutral type with linear delay”, Sibirsk. Mat. Zh., 60:6 (2019), 1260–1270; Siberian Math. J., 60:6 (2019), 984–992
Linking options:
https://www.mathnet.ru/eng/smj3147 https://www.mathnet.ru/eng/smj/v60/i6/p1260
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Abstract page: | 215 | Full-text PDF : | 120 | References: | 22 | First page: | 7 |
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