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JOURNALS // Matematicheskie Zametki // Archive

Mat. Zametki, 1998 Volume 63, Issue 1, Pages 115–126 (Mi mzm1253)

This article is cited in 8 papers

Asymptotics of solutions of infinite-dimensional homogeneous dynamical systems

D. N. Cheban

Moldova State University

Abstract: In this paper we study the connection between the uniform asymptotic stability and the power-law or exponential asymptotics of the solutions of infinite-dimensional systems (differential equations in Banach spaces, functional differential equations, and completely solvable multidimensional differential equations).

UDC: 517.938+517.925.51

Received: 26.09.1995

DOI: 10.4213/mzm1253


 English version:
Mathematical Notes, 1998, 63:1, 102–111

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