A Method of Constructing Almost Periodic Solutions to a System of Neutral Type with Linear Delay


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Resumo

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.

Sobre autores

B. Grebenshchikov

Ural Federal University

Autor responsável pela correspondência
Email: b.g.grebenshchikov@urfu.ru
Rússia, Ekaterinburg

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