Geodesic
Existence of $\psi$-bounded solutions for a system of differential equations
Electronic Journal of Differential Equations, Tome 2004 (2004).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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 $(0,+\infty)$.
Classification : 34D05, 34C11
Keywords: $\Psi$-bounded, Lebesgue $\Psi$-integrable function 
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     author = {Diamandescu, Aurel},
     title = {Existence of $\psi$-bounded solutions for a system of differential equations},
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     volume = {2004},
     year = {2004},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2004__2004__a147/}
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Diamandescu, Aurel. Existence of $\psi$-bounded solutions for a system of differential equations. Electronic Journal of Differential Equations, Tome 2004 (2004). http://geodesic.mathdoc.fr/item/EJDE_2004__2004__a147/