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Existence of Ψ Bounded Solutions for a Lyapunov Matrix Dierential Equation Cover

Existence of Ψ Bounded Solutions for a Lyapunov Matrix Dierential Equation

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.

DOI: https://doi.org/10.2478/awutm-2014-0011 | Journal eISSN: 1841-3307 | Journal ISSN: 1841-3293
Language: English
Page range: 3 - 12
Submitted on: Jan 14, 2014
Accepted on: Dec 10, 2014
Published on: Mar 25, 2015
Published by: West University of Timisoara
In partnership with: Paradigm Publishing Services
Publication frequency: Volume open

© 2015 Aurel Diamandescu, published by West University of Timisoara
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.