Oscillation of solutions of a neutral pantograph equation with impulsive perturbations

Authors

KAIZHONG GUAN

DOI

10.3906/mat-1111-38

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.

Keywords

Oscillation, neutral differential equation, pantograph equation, impulses

First Page

455

Last Page

465

Recommended Citation

GUAN, KAIZHONG (2013) "Oscillation of solutions of a neutral pantograph equation with impulsive perturbations," Turkish Journal of Mathematics: Vol. 37: No. 3, Article 9. https://doi.org/10.3906/mat-1111-38
Available at: https://journals.tubitak.gov.tr/math/vol37/iss3/9