Exponential dichotomies for linear systems with impulsive effects

In this paper we give conditions for the existence of a dichotomy for the impulsive equation $$displaylines{ mu(t,varepsilon) x'= A(t)x, ; t eq t_k,cr x(t_k^+ )= C_k x(t_k^-),, }$$ where $mu(t,varepsilon)$ is a positive function such that $limmu(t,varepsilon)=0$ in some sense. The results are e...

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Bibliographic Details
Main Author: Raul Naulin
Format: Article
Language:English
Published: Texas State University 2001-01-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/conf-proc/06/n1/abstr.html