<abstract xmlns="http://www.w3.org/1999/xhtml"><p> 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. </p></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.

Existence of Ψ Bounded Solutions for a Lyapunov Matrix Dierential Equation

Department of Applied Mathematics University of Craiova 13 A.I. Cuza Str., RO-200585 Craiova Romania

Annals of West University of Timisoara - Mathematics and Computer Science

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

{"article-title":"Existence of Ψ Bounded Solutions for a Lyapunov Matrix Dierential Equation"}

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...

Existence of Ψ Bounded Solutions for a Lyapunov Matrix Dierential Equation

Published Online: Mar 25, 2015

Page range: 3 - 12

Received: Jan 14, 2014

Accepted: Dec 10, 2014

DOI: https://doi.org/10.2478/awutm-2014-0011

Keywords
Ψ -bounded solution, Lyapunov matrix differential equation

© Annals of West University of Timisoara - Mathematics

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Existence of Ψ Bounded Solutions for a Lyapunov Matrix Dierential Equation

Published Online: Mar 25, 2015

Page range: 3 - 12

Received: Jan 14, 2014

Accepted: Dec 10, 2014

DOI: https://doi.org/10.2478/awutm-2014-0011

KeywordsΨ -bounded solution, Lyapunov matrix differential equation

© Annals of West University of Timisoara - Mathematics

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
Ψ -bounded solution, Lyapunov matrix differential equation