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

A. Diamandescu, University of Craiova, Craiova, Romania

E. J. Qualitative Theory of Diff. Equ., No. 42. (2010), pp. 1-9.

Abstract: 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 solution of this equation.

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