Oscillation criteria for nonlinear difference equations with superlinear neutral term

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DOI:

https://doi.org/10.26637/mjm503/014

Abstract

In this paper, the authors obtain sufficient conditions for the oscillation of all solutions of the equation
Δ(anΔ(xn+pnxαnk))+qnxβn+1l=0
where $\alpha \geq 1$ and $\beta>0$ are ratio of odd positive integers, and $\left\{a_n\right\},\left\{p_n\right\}$ and $\left\{q_n\right\}$ are real positive sequences. Examples are provided to illustrate the importance of the main results.

Keywords:

Oscillation, nonlinear difference equation, superlinear neutral term

Mathematics Subject Classification:

Mathematics
  • B. Kamaraj Department of Mathematics, S.I.V.E.T College, Chennai-73, Tamil Nadu, India.
  • R. Vasuki Department of Mathematics, S.I.V.E.T College, Chennai-73, Tamil Nadu, India.
  • Pages: 580-586
  • Date Published: 01-07-2017
  • Vol. 5 No. 03 (2017): Malaya Journal of Matematik (MJM)

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Published

01-07-2017

How to Cite

B. Kamaraj, and R. Vasuki. “Oscillation Criteria for Nonlinear Difference Equations With Superlinear Neutral Term”. Malaya Journal of Matematik, vol. 5, no. 03, July 2017, pp. 580-6, doi:10.26637/mjm503/014.