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.
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Note that the author continues the study of systems which was started in [6, 11, 12].
Russian Text © The Author(s), 2019, published in Sibirskii Matematicheskii Zhurnal, 2019, Vol. 60, No. 6, pp. 1260–1270.
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Grebenshchikov, B.G. A Method of Constructing Almost Periodic Solutions to a System of Neutral Type with Linear Delay. Sib Math J 60, 984–992 (2019). https://doi.org/10.1134/S0037446619060065
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DOI: https://doi.org/10.1134/S0037446619060065