IJPAM: Volume 73, No. 1 (2011)

ON THE NONOSCILLATION AND OSCILLATION OF
THE SOLUTIONS OF A FIRST ORDER NEUTRAL
NONCONSTANT DELAY IMPULSIVE DIFFERENTIAL
EQUATIONS WITH VARIABLE OR
OSCILLATING 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 first order neutral impulsive differential equation with variable coefficients. The asymptotic behavior of a non-oscillatory solution for such equations is investigating and sufficient conditions for oscillation of all the solutions are found.

Received: September 22, 2011

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

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

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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