Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4623318 | Journal of Mathematical Analysis and Applications | 2007 | 18 Pages |
Abstract
This paper is concerned with the solvability of periodic boundary value problems for nonlinear impulsive functional differential equations(â){xâ²(t)+a(t)x(t)=f(t,x(t),x(α1(t)),â¦,x(αn(t))),tâJâ{t1,â¦,tp},x(tk+)âx(tk)=Ik(x(tk)),k=1,2,â¦,p,x(0)=x(T). We obtain sufficient conditions for the existence of at least one solution of problem (â) at resonance and nonresonance cases, respectively. Examples are presented to illustrate the main results.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Yuji Liu,