Geodesic
Existence of $\psi$-bounded solutions for nonhomogeneous linear differential equations
Electronic Journal of Differential Equations, Tome 2007 (2007).

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 $\psi$-bounded solution on $\mathbb{R}$ of the nonhomogeneous linear differential equation $x'=A(t)x+f(t)$. We associate that with the condition of the concept $\psi$-dichotomy on $\mathbb{R}$ of the homogeneous linear differential equation $x'=A(t)x$.
Classification : 34A12, 34C11, 34D05
Keywords: psi-bounded solution, psi-integrable, psi-integrally bounded, psi-exponential dichotomy 
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     author = {Boi, Pham Ngoc},
     title = {Existence of $\psi$-bounded solutions for nonhomogeneous linear differential equations},
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     volume = {2007},
     year = {2007},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2007__2007__a217/}
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Boi, Pham Ngoc. Existence of $\psi$-bounded solutions for nonhomogeneous linear differential equations. Electronic Journal of Differential Equations, Tome 2007 (2007). http://geodesic.mathdoc.fr/item/EJDE_2007__2007__a217/