Oscillation of first order neutral difference equations

A. Murugesan; R. Suganthi

doi:10.26637/mjm401/009

Abstract

In this paper, we consider a class of first order neutral difference equations of the form
$$
\Delta[r(n)(x(n)+p(n) x(n-\tau))]+q(n) x(n-\sigma)=0, \quad n \geq n_0
$$
Some sufficient conditions for the oscillation of all solutions of given system are established. Our result extend and improve some of the previous results in the literature. Some examples are considered to illustrate our results.

Keywords:

Oscillation, nonoscillation, neutral, difference equations

Mathematics Subject Classification:

39A10, 39A12

Authors Imprint References Funding Related Articles Downloads

A. Murugesan Department of Mathematics, Government Arts College (Autonomous), Salem-636007, Tamil Nadu, India.
R. Suganthi Department of Mathematics, Vysya College, Salem-636103, Tamil Nadu, India.

Pages: 65-78
Date Published: 01-01-2016
Vol. 4 No. 01 (2016): Malaya Journal of Matematik (MJM)

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