Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4624175 | Journal of Mathematical Analysis and Applications | 2006 | 12 Pages |
Abstract
This paper studies the global existence of solutions of the impulsive differential equation{xâ²(t)=f(t,x(t)),t⩾0,tâ Ïk,Îx(t)=Ik(x(t)),t=Ïk,k=1,2,â¦, where Îx(t)=x(t+)âx(t), f:[0,â)ÃRnâRn, Ik:RnâRn, k=1,2,â¦, and {Ïk} is a sequence of real numbers such that 0<Ï1<Ï2<â¯<Ïkââ as kââ. Some interesting results on global existence of solutions are established even though the corresponding continuous equation, i.e., yâ²(t)=f(t,y(t)), may not have global existence of solutions.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Jianhua Shen, Xinzhi Liu,