Existence of Nonoscillatory Solutions of First-Order Neutral Difference Equations

Authors(3) :-A. George Maria Selvam, M. Paul Loganathan, C. Silambarasan

In this paper, we study the existence of nonoscillatory solution of first-order neutral difference equations with delay and advance terms. Some sufficient conditions for the existence of positive solutions are obtained. Banach contraction principle is used in the proofs of the results.

Authors and Affiliations

A. George Maria Selvam
Department of Mathematics, Sacred Heart College, Tirupattur, Vellore, Tamil Nadu, India
M. Paul Loganathan
Department of Mathematics, Dravidian University, Kuppam, Andhra Pradesh, India
C. Silambarasan
Department of Mathematics, Sacred Heart College, Tirupattur, Vellore, Tamil Nadu, India

Difference Equations, Nonoscillation, Positive Solutions, Banach Contraction Principle.

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Publication Details

Published in : Volume 2 | Issue 4 | July-August 2016
Date of Publication : 2016-08-30
License:  This work is licensed under a Creative Commons Attribution 4.0 International License.
Page(s) : 370-379
Manuscript Number : IJSRSET162473
Publisher : Technoscience Academy

Print ISSN : 2395-1990, Online ISSN : 2394-4099

Cite This Article :

A. George Maria Selvam, M. Paul Loganathan, C. Silambarasan, " Existence of Nonoscillatory Solutions of First-Order Neutral Difference Equations, International Journal of Scientific Research in Science, Engineering and Technology(IJSRSET), Print ISSN : 2395-1990, Online ISSN : 2394-4099, Volume 2, Issue 4, pp.370-379, July-August-2016.
Journal URL : http://ijsrset.com/IJSRSET162473

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