IJPAM: Volume 73, No. 1 (2011)

OSCILLATION CRITERIA FOR THE SOLUTIONS OF
A FIRST ORDER NEUTRAL NONCONSTANT DELAY
IMPULSIVE DIFFERENTIAL EQUATIONS
WITH VARIABLE COEFFICIENTS

M.B. Dimitrova$^1$, V.I. Donev$^2$
$^{1,2}$Department of Mathematics
Technical University of Sliven
8800, Sliven, BULGARIA


Abstract. In this paper we consider a first order neutral impulsive differential equation with variable coefficients and nonconstant delay. Sufficient conditions for oscillation of all solutions of such equations are found.

Received: July 4, 2011

AMS Subject Classification: 34A37, 34K11, 34K40, 34K45

Key Words and Phrases: oscillation, impulsive effect, neutral differential equation

Download paper from here.


Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2011
Volume: 73
Issue: 1