Oscillation of solutions of a neutral pantograph equation with impulsive perturbations

Authors : Kaizhong Guan

Pages : 455-465

Doi:10.3906/mat-1111-38

View : 15 | Download : 10

Publication Date : 9999-12-31

Article Type : Makaleler

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}[x(t)-C(t)x(g t)]+ \frac{P(t)}{t}x(a t)-\frac{Q(t)}{t}x(b t)=0,~~ t\geq t0>0,~~ t\neq tk, x(t+k)=bkx(tk), k=1,2,... . \end{array}\right.
Keywords : Oscillation, neutral differential equation, pantograph equation, impulses