Oscillation theorems for second-order half-linear neutral difference equations

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DOI:

https://doi.org/10.26637/mjm204/013

Abstract

In this article, some new oscillation criteria are established for the second order neutral difference equation of the form
Δ(a(n)Δ(z(n))α)+q(n)xα(σ(n))=0,n≥n0
where z(n)=x(n)+p(n)x(τ(n)). Our results improve and extend some known results in the literature. Some examples are also provided to show the importance of these results.

Keywords:

Half-linear, neutral, oscillation, difference equations

Mathematics Subject Classification:

39A10
  • R. Arul Department of Mathematics, Kandaswami Kandar’s College, Tamil Nadu - 638 182, India.
  • T.J. Raghupathi Department of Mathematics, Kandaswami Kandar’s College, Tamil Nadu - 638 182, India.
  • Pages: 460-471
  • Date Published: 01-10-2014
  • Vol. 2 No. 04 (2014): Malaya Journal of Matematik (MJM)

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Published

01-10-2014

How to Cite

R. Arul, and T.J. Raghupathi. “Oscillation Theorems for Second-Order Half-Linear Neutral Difference Equations”. Malaya Journal of Matematik, vol. 2, no. 04, Oct. 2014, pp. 460-71, doi:10.26637/mjm204/013.

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Vol. 2 No. 04 (2014): Malaya Journal of Matematik (MJM)

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Copyright (c) 2014 MJM

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This work is licensed under a Creative Commons Attribution 4.0 International License.

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