This article is cited in 14 papers

Stability of solutions of nonlinear systems with unbounded perturbations

A. Yu. Aleksandrov

Saint-Petersburg State University

Abstract: We study systems of differential equations with perturbations that are unbounded functions of time. We suggest a method for constructing Lyapunov functions to determine conditions under which the perturbations do not affect the asymptotic stability of the solutions.

UDC: 517.92

Received: 18.04.1996

DOI: 10.4213/mzm1242

 English version: Mathematical Notes, 1998, 63:1, 3–8

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