Asymptotic Behavior of Linear Almost Periodic Differential Equations
Dynamical Systems
2014-07-29 v3 Classical Analysis and ODEs
Functional Analysis
Spectral Theory
Abstract
The present paper is concerned with strong stability of solutions of non-autonomous equations of the form , where is an unbounded operator in a Banach space depending almost periodically on . A general condition on strong stability is given in terms of Perron conditions on the solvability of the associated inhomogeneous equation.
Cite
@article{arxiv.1212.0813,
title = {Asymptotic Behavior of Linear Almost Periodic Differential Equations},
author = {Bui Xuan Dieu and Luu Hoang Duc and Stefan Siegmund and Nguyen Van Minh},
journal= {arXiv preprint arXiv:1212.0813},
year = {2014}
}
Comments
16 pages