Construction of almost periodic solutions to one quasilinear system with two delays

B. G. Grebenshchikov

Chair of Theoretical Mechanics, Ural State University, Ekaterinburg, Russia

Abstract: In this paper we construct an almost periodic solution to a quasilinear system with constant and linear delays. We prove the asymptotic stability of this solution.

Keywords: successive approximations, exponential bound, convergence, asymptotic stability.

UDC: 517.929

Received: 25.04.2007

 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2009, 53:8, 8–14

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