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 
@article{EJDE_2007__2007__a17,
     author = {Boi, Pham Ngoc},
     title = {Existence of $\psi$-bounded solutions for nonhomogeneous linear differential equations},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2007},
     year = {2007},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2007__2007__a17/}
}
TY  - JOUR
AU  - Boi, Pham Ngoc
TI  - Existence of $\psi$-bounded solutions for nonhomogeneous linear differential equations
JO  - Electronic Journal of Differential Equations
PY  - 2007
VL  - 2007
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/EJDE_2007__2007__a17/
LA  - en
ID  - EJDE_2007__2007__a17
ER  - 
%0 Journal Article
%A Boi, Pham Ngoc
%T Existence of $\psi$-bounded solutions for nonhomogeneous linear differential equations
%J Electronic Journal of Differential Equations
%D 2007
%V 2007
%I mathdoc
%U http://geodesic.mathdoc.fr/item/EJDE_2007__2007__a17/
%G en
%F EJDE_2007__2007__a17
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__a17/