Existence of $psi$-bounded solutions for nonhomogeneous linear differential equations

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 li...

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Bibliographic Details
Main Author: Pham Ngoc Boi
Format: Article
Language:English
Published: Texas State University 2007-04-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2007/52/abstr.html