Article ID Journal Published Year Pages File Type
4624175 Journal of Mathematical Analysis and Applications 2006 12 Pages PDF
Abstract
This paper studies the global existence of solutions of the impulsive differential equation{x′(t)=f(t,x(t)),t⩾0,t≠τk,Δx(t)=Ik(x(t)),t=τk,k=1,2,…, where Δx(t)=x(t+)−x(t), f:[0,∞)×Rn→Rn, Ik:Rn→Rn, k=1,2,…, and {τk} is a sequence of real numbers such that 0<τ1<τ2<⋯<τk→∞ as k→∞. Some interesting results on global existence of solutions are established even though the corresponding continuous equation, i.e., y′(t)=f(t,y(t)), may not have global existence of solutions.
Related Topics
Physical Sciences and Engineering Mathematics Analysis
Authors
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