Journals / Turkish Journal of Mathematics / 2013 / Cilt: 37 - Sayı: 3
Oscillation of solutions of a neutral pantograph equation with impulsive perturbations
- Pages
- 455–465
- DOI
- —
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.
Özet
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.