IJPAM: Volume 106, No. 8 (2016)

OSCILLATIONS OF NONLINEAR IMPULSIVE NEUTRAL
FUNCTIONAL HYPERBOLIC EQUATIONS WITH DAMPING

V. Sadhasivam$^1$, T. Raja$^2$, T. Kalaimani$^3$
$^{1,2,3}$Post Graduate and Research Department of Mathematics
Thiruvalluvar Government Arts College
Rasipuram, Namakkal (Dt), Tamil Nadu, INDIA


Abstract. In this paper, we are investigated oscillatory behavior of solutions of nonlinear impulsive neutral functional hyperbolic equations with damping term using Riccati technique and integral averaging method. A sufficient condition for oscillation of the solutions of nonlinear impulsive neutral functional hyperbolic equations with damping term is obtained.

Received: February 15, 2016

AMS Subject Classification: 35L10, 35R10, 35R12

Key Words and Phrases: oscillation, hyperbolic equation, Riccati method, impulsive, neutral

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DOI: 10.12732/ijpam.v106i8.22 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2016
Volume: 106
Issue: 8
Pages: 187 - 197


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