Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1710432 | Applied Mathematics Letters | 2007 | 7 Pages |
Abstract
We use the associated Riccati techniques and the equivalence transformation to discuss the oscillation and the nonoscillation of the second order linear ordinary differential equation with impulses of the form {(a(t)x′(t))′+p(t)x(t)=0,t≥t0,t≠tk,x(tk+)=bkx(tk),x′(tk+)=ckx′(tk),k=1,2,…. Several good results are obtained. Some examples are also given which show that the oscillation of impulsive differential equations can be caused by impulsive perturbations, though the corresponding classical equation admits a nonoscillatory solution.
Related Topics
Physical Sciences and Engineering
Engineering
Computational Mechanics
Authors
Zhiguo Luo, Jianhua Shen,