On the $psi$-dichotomy for homogeneous linear differential equations

In this article we present some conditions for the $psi$-dichotomy of the homogeneous linear differential equation $x'=A(t)x$. Under our condition every $psi$-integrally bounded function $f$ the nonhomogeneous linear differential equation $x'=A(t)x +f(t)$ has at least one $psi$-bounded...

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Bibliographic Details
Main Author: Pham Ngoc Boi
Format: Article
Language:English
Published: Texas State University 2006-03-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2006/40/abstr.html