Electronic Journal of Differential Equations,
Vol. 2004(2004), No. 63, pp. 1-6.

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

Author: Aurel Diamandescu (Univ. of Craiova, Romania)

Abstract:
 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 $(0,+\infty)$.

Submitted March 5, 2004. Published April 23, 2004.
Math Subject Classifications: 34D05, 34C11.
Key Words: $\Psi$-bounded; Lebesgue $\Psi$-integrable function.