Oscillation criteria for nonlinear difference equations with superlinear neutral term

B. Kamaraj; R. Vasuki

doi:10.26637/mjm503/014

Abstract

In this paper, the authors obtain sufficient conditions for the oscillation of all solutions of the equation
$$
\Delta\left(a_n \Delta\left(x_n+p_n x_{n-k}^\alpha\right)\right)+q_n x_{n+1-l}^\beta=0
$$
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

Authors Imprint References Funding Related Articles Downloads

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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