Psi-exponential dichotomy for linear differential equations in a Banach space

Psi-exponential dichotomy for linear differential equations in a Banach space

In this article we extend the concept psi-exponential and psi-ordinary dichotomies for homogeneous linear differential equations in a Banach space. With these two concepts we prove the existence of psi-bounded solutions of the appropriate inhomogeneous equation. A roughness of the psi-dichotomy...

Full description

Bibliographic Details
Main Authors: Atanaska Georgieva, Hristo Kiskinov, Stepan Kostadinov, Andrey Zahariev
Format: Article
Language:English
Published: Texas State University 2013-07-01
Series:Electronic Journal of Differential Equations
Subjects:
Dichotomy for ordinary differential equations
psi-dichotomy
psi-boundedness
psi-stability
Online Access:http://ejde.math.txstate.edu/Volumes/2013/153/abstr.html
Description
Summary:In this article we extend the concept psi-exponential and psi-ordinary dichotomies for homogeneous linear differential equations in a Banach space. With these two concepts we prove the existence of psi-bounded solutions of the appropriate inhomogeneous equation. A roughness of the psi-dichotomy is also considered.
ISSN:1072-6691

Similar Items