Turkish Journal of Mathematics
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(\gamma t)]+ \frac{P(t)}{t}x(\alpha t)-\frac{Q(t)}{t}x(\beta t)=0,~~ t\geq t_{0}>0,~~ t\neq t_{k}, x(t^{+}_{k})=b_{k}x(t_{k}), k=1,2,... . \end{array}\right.
DOI
10.3906/mat-1111-38
Keywords
Oscillation, neutral differential equation, pantograph equation, impulses
First Page
455
Last Page
465
Recommended Citation
GUAN, K (2013). Oscillation of solutions of a neutral pantograph equation with impulsive perturbations. Turkish Journal of Mathematics 37 (3): 455-465. https://doi.org/10.3906/mat-1111-38