Asian Journal of Mathematics and Computer Research

OSCILLATION ANALYSIS OF NONLINEAR DIFFERENCE EQUATIONS OF THIRD ORDER

I. MOHAMMED ALI JAFFER *

Department of Mathematics, Government Arts College, Udumalpet, Tirupur, 642 126, Tamil Nadu, India

*Author to whom correspondence should be addressed.

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Abstract

In this paper, we deal with oscillatory behavior of all solutions of certain third order nonlinear difference equation of the form 

∆ (an(∆2xn) α) + qnf (xσ(n))=0, n∈N ={1,2,3,…}.          

Various examples are considered to illustrate the main results.

Keywords: Functional, difference equation, oscillation, non-oscillation

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