Existence of $psi$-bounded solutions for a system of differential equations

In this article, we present a necessary and sufficient condition for the existence of solutions to the linear nonhomogeneous system $x'=A(t)x + f(t)$. Under the condition stated, for every Lebesgue $Psi$-integrable function $f$ there is at least one $Psi$-bounded solution on the interval $(0,+i...

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Bibliographic Details
Main Author: Aurel Diamandescu
Format: Article
Language:English
Published: Texas State University 2004-04-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2004/63/abstr.html