About this article
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
© Annals of West University of Timisoara - Mathematics
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.
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.