Oscillation of solutions of a neutral pantograph equation with impulsive perturbations

Authors : Kaizhong GUAN

Pages : 455-465

Doi:10.3906/mat-1111-38

View : 10 | Download : 8

Publication Date : 0000-00-00

Article Type : Research Paper

Abstract :Some sufficient conditions are established on the oscillation of all solutions of a class of neutral pantograph equations with impulsive perturbations of the form \{\begin{array}{l}\frac{d}{dt}[xinsert ignore into journalissuearticles values(t);-Cinsert ignore into journalissuearticles values(t);xinsert ignore into journalissuearticles values(g t);]+ \frac{Pinsert ignore into journalissuearticles values(t);}{t}xinsert ignore into journalissuearticles values(a t);-\frac{Qinsert ignore into journalissuearticles values(t);}{t}xinsert ignore into journalissuearticles values(b t);=0,~~ t\geq t0>0,~~ t\neq tk, xinsert ignore into journalissuearticles values(t+k);=bkxinsert ignore into journalissuearticles values(tk);, k=1,2,... . \end{array}\right.
Keywords : Oscillation, neutral differential equation, pantograph equation, impulses