Existence of Nonoscillatory Solutions of First-Order Neutral Difference Equations

Authors

  • 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

Keywords:

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

Abstract

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.

References

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International Journal of Scientific Research in Science, Engineering and Technology

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Published

2016-08-30

Issue

Volume 2, Issue 4, July-August-2016

Section

Research Articles

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How to Cite

[1]
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.