Existence of Ψ Bounded Solutions for a Lyapunov Matrix Dierential Equation

Aurel Diamandescu

doi:10.2478/awutm-2014-0011

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Existence of Ψ Bounded Solutions for a Lyapunov Matrix Dierential Equation

Annals of West University of Timisoara - Mathematics and Computer Science

Volume 52 (2014): Issue 2 (December 2014)

By: Aurel Diamandescu

Open Access

|Mar 2015

Abstract

It is proved a necessary and sufficient condition for the existence of at least one Ψ- bounded solution of a linear non- homogeneous Lyapunov matrix differential equation. In addition, it is given a result in connection with the asymptotic behavior of the Ψ- bounded solutions of this equation.

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