IJPAM: Volume 72, No. 4 (2011)

OSCILLATION CRITERIA FOR THE SOLUTIONS
OF NONLINEAR DELAY DIFFERENTIAL EQUATIONS
OF SECOND ORDER WITH IMPULSE EFFECT

M.B. Dimitrova
Department of Mathematics
Technical University of Sliven
8800, Sliven, BULGARIA


Abstract. Necessary and sufficient conditions are found for oscillation of all solutions of a class of nonlinear delay differential equations of second order with impulse effects at fixed moments.

Received: March 12, 2011

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

Key Words and Phrases: oscillation of the solutions, delay differential equations, impulse effect

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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: 72
Issue: 4