Geodesic
Existence of \(\psi\)-bounded solutions for a system of differential equations
Electronic journal of differential equations, Tome 2004 (2004)
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 
@article{EJDE_2004__2004__a147,
     author = {Diamandescu,  Aurel},
     title = {Existence of \(\psi\)-bounded solutions for a system of differential equations},
     journal = {Electronic journal of differential equations},
     year = {2004},
     volume = {2004},
     zbl = {1058.34040},
     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/