• K.DEVI PRIYA
• C.CHRISTY ANITHA

In this paper, we define difference equation; an oscillation criterion for first order difference equation is various classifications of Basic definitions. This paper is organized as follows in section we adopt some usual terminology, notations and conventions which will be used later in the section we establish the single delay and General delay arguments. The first order difference equation is using basic notations of difference equation and also presents a sufficient condition for the oscillation of all solution of linear difference with general delay argument have also been presented.

Difference equation, first order difference equation, Single delay, and General delay. Basic notations of difference Equation.

"AN OSCILLATION CRITERION FOR A FIRST ORDER DIFFERENCE EQUATION WITH THE SINGLE DELAY AND GENERAL DELAY ", International Journal of Emerging Technologies and Innovative Research (www.jetir.org), ISSN:2349-5162, Vol.6, Issue 6, page no.763-768, June 2019, Available :http://www.jetir.org/papers/JETIR1907564.pdf

"AN OSCILLATION CRITERION FOR A FIRST ORDER DIFFERENCE EQUATION WITH THE SINGLE DELAY AND GENERAL DELAY ", International Journal of Emerging Technologies and Innovative Research (www.jetir.org | UGC and issn Approved), ISSN:2349-5162, Vol.6, Issue 6, page no. pp763-768, June 2019, Available at : http://www.jetir.org/papers/JETIR1907564.pdf