IJPAM: Volume 64, No. 3 (2010)

OSCILLATION CRITERIA FOR SECOND ORDER
NONLINEAR DIFFERENCE EQUATIONS

S. Lourdu Marian$^1$, M. Reni Sagaya Raj$^2$, A. George Maria Selvam$^3$
$^1$Department of Master of Computer Applications
Saveetha Engineering College
Thandalam, Chennai, 602 105, INDINA
$^1$e-mail: lm_jerrome @ rediffmail.com
$^{2,3}$Department of Mathematics
Sacred Heart College
Tirupattur, 635 601, Vellore Dist., INDIA
$^{2}$e-mail: reni.sagaya @ gmail.com
$^{3}$e-mail: agm_shc @ rediffmail.com


Abstract.In this paper, we are concerned with second order nonlinear difference equations and give sufficient conditions for their solutions to be oscillatory. Oscillation theorems are established involving comparison with linear equations.

Received: September 8, 2010

AMS Subject Classification: 39A10, 39A11

Key Words and Phrases: oscillation, nonlinear, second order, difference equations

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2010
Volume: 64
Issue: 3