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JOURNALS // Sibirskii Zhurnal Industrial'noi Matematiki // Archive

Sib. Zh. Ind. Mat., 2013 Volume 16, Number 3, Pages 53–60 (Mi sjim792)

This article is cited in 13 papers

Estimates of solutions to linear differential equations of neutral type with several delays of argument

G. V. Demidenkoab, E. S. Vodop'yanova, M. A. Skvortsovaab

a Sobolev Institute of Mathematics SD RAS, 4 Koptyug av., 630090 Novosibirsk
b Novosibirsk State University, 2 Pirogova st., 630090 Novosibirsk

Abstract: We consider a system of linear differential equations of neutral type with several delays of argument. We obtain conditions on the matrix coefficients of the system under which all its solutions decay exponentially at infinity. Using functionals of Lyapunov–Krasovskii type, we establish uniform estimates of solutions.

Keywords: equations of neutral type, asymptotic stability, Lyapunov–Krasovskii functional.

UDC: 517.929.4

Received: 22.05.2013


 English version:
Journal of Applied and Industrial Mathematics, 2013, 7:4, 472–479

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