Oscillation of Second Order Difference Equation with a Sub-linear Neutral Term

Journal Title: Journal of Mathematics and Applications - Year 2017, Vol 40, Issue

Abstract

This paper deals with the oscillation of a certain class of second order difference equations with a sub-linear neutral term. Using some inequalities and Riccati type transformation, four new oscillation criteria are obtained. Examples are included to illustrate the main results.

Authors and Affiliations

C. Dharuman, John R. Graef, E. Thandapani, K. S. Vidhyaa

Keywords

Related Articles

Some Triple Difference Rough Cesàro and Lacunary Statistical Sequence Spaces

We generalized the concepts in probability of rough Cesàro and lacunary statistical by introducing the difference operator ∆^α_γ of fractional order, where α is a proper fraction and γ = (γ_{mnk}) is any fixed sequence o...

FG-coupled Fixed Point Theorems for Contractive Type Mappings in Partially Ordered Metric Spaces

In this paper we prove FG-coupled fixed point theorems for Kannan, Reich and Chatterjea type mappings in partially ordered complete metric spaces using mixed monotone property.

On e-I-open sets, e-I-continuous functions and decomposition of continuity

In this paper, we introduce the notations of e-I-open sets and strong B*_I -set to obtain a decomposition of continuing via idealization. Additionally, we investigate properties of e-I-open sets and strong B*_I -set. Al...

Ergodic Properties of Random Infinite Products of Nonexpansive Mappings

In this paper we are concerned with the asymptotic behavior of random (unrestricted) infinite products of nonexpansive selfmappings of closed and convex subsets of a complete hyperbolic space. In contrast with our previo...

On the Existence of Solutions of a Perturbed Functional Integral Equation in the Space of Lebesgue Integrable Functions on ℝ+

In this paper, we investigate and study the existence of solutions for perturbed functional integral equations of convolution type using Darbo's fixed point theorem, which is associated with the measure of noncompactness...

Download PDF file
  • EP ID EP341819
  • DOI 10.7862/rf.2017.4
  • Views 91
  • Downloads 0

How To Cite

C. Dharuman, John R. Graef, E. Thandapani, K. S. Vidhyaa (2017). Oscillation of Second Order Difference Equation with a Sub-linear Neutral Term. Journal of Mathematics and Applications, 40(), 59-67. https://europub.co.uk/articles/-A-341819