Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4629474 | Applied Mathematics and Computation | 2012 | 7 Pages |
Abstract
Some sufficient conditions are obtained for the oscillation of all solutions of a pantograph differential equation with impulsive perturbations of the formxâ²(t)=P(t)x(t)-Q(t)x(αt),t⩾t0,tâ tk,(â)x(tk+)=bkx(tk),k=1,2,â¦(ââ)Our results reveal the fact that the oscillatory properties of all solutions of impulsive differential equations (â) and (ââ) may be caused by the impulsive perturbations (ââ), though the corresponding differential equations without impulses admit a nonoscillatory solution. Some examples are also given to illustrate the applicability of the results obtained.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Kaizhong Guan, Qisheng Wang, Xiaobao He,