Existence of Nonoscillatory Solutions of First Order Nonlinear Neutral Dierence Equations

R Arul; K Alagesan; G Ayyappan

doi:10.24297/jam.v11i5.1250

Existence of Nonoscillatory Solutions of First Order Nonlinear Neutral Dierence Equations

Authors

R Arul Kandaswami Kandar's College, Velur - 638 182, Namakkal Dt., Tamil Nadu,
K Alagesan Kandaswami Kandar's College, Velur - 638 182, Namakkal Dt., Tamil Nadu
G Ayyappan Kandaswami Kandar's College, Velur - 638 182, Namakkal Dt., Tamil Nadu

DOI:

https://doi.org/10.24297/jam.v11i5.1250

Keywords:

Nonoscillation, neutral dierence equations., first order

Abstract

In this paper, we discuss the existence of nonoscillatory solutions of first order nonlinear neutral difference equations of the form

We use the Knaster-Tarski xed point theorem to obtain some sucient conditions for the existence of nonoscillatory solutions of above equations. Example are given to illustrate the main results.

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Author Biographies

R Arul, Kandaswami Kandar's College, Velur - 638 182, Namakkal Dt., Tamil Nadu,

Department of Mathematics,

K Alagesan, Kandaswami Kandar's College, Velur - 638 182, Namakkal Dt., Tamil Nadu

Department of Mathematics

G Ayyappan, Kandaswami Kandar's College, Velur - 638 182, Namakkal Dt., Tamil Nadu

Department of Mathematics

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Published

2015-10-12

How to Cite

Arul, R., Alagesan, K., & Ayyappan, G. (2015). Existence of Nonoscillatory Solutions of First Order Nonlinear Neutral Dierence Equations. JOURNAL OF ADVANCES IN MATHEMATICS, 11(5), 5230–5237. https://doi.org/10.24297/jam.v11i5.1250