Existence of $\Psi$-bounded solutions for nonhomogeneous Lyapunov matrix differential equations on $R$

In this paper, we give a necessary and sufficient condition for the existence of at least one $\Psi$-bounded solution of a linear nonhomogeneous Lyapunov matrix differential equation on $\mathbb{R}$. In addition, we give a result in connection with the asymptotic behavior of the $\Psi$-bounded solut...

Full description

Bibliographic Details
Main Author: Aurel Diamandescu
Format: Article
Language:English
Published: University of Szeged 2010-08-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=502