Geodesic
Existence of \(\psi\)-bounded solutions for nonhomogeneous linear differential equations
Electronic journal of differential equations, Tome 2007 (2007)
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 
@article{EJDE_2007__2007__a217,
     author = {Boi,  Pham Ngoc},
     title = {Existence of \(\psi\)-bounded solutions for nonhomogeneous linear differential equations},
     journal = {Electronic journal of differential equations},
     year = {2007},
     volume = {2007},
     zbl = {1117.34039},
     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/