Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4618993 | Journal of Mathematical Analysis and Applications | 2010 | 13 Pages |
Abstract
By using the roughness theory of exponential dichotomies and the contraction mapping, some sufficient conditions are obtained for the existence and uniqueness of pseudo almost periodic solution of the above differential equation with piecewise constant argumentdxdt=A(t)x(t)+∑j=0rAj(t)x([t−j])+g(t,x(t),x([t]),…,x([t−r])).
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
E. Ait Dads, L. Lhachimi,