This article is cited in 1 paper

Approximate solution of a boundary value problem for the Lyapunov differential equation with a parameter

I. I. Matveeva, E. A. Samuilova

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences

Abstract: A special boundary value problem is studied for the Lyapunov differential equation which is used for investigation of the asymptotic properties of solutions to systems of periodic differential equations with a parameter. An algorithm is proposed for constructing an approximate solution to this boundary value problem, and conditions on the parameter are found under which the zero solution to the system is asymptotically stable.

UDC: 517.925.51

Received: 25.11.2005

 English version: Journal of Applied and Industrial Mathematics, 2008, 2:2, 222–230

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