Oscillatory Behavior of Second Order Nonlinear Difference Equations with a Non-Positive Neutral Term

Oscillatory Behavior of Second Order Nonlinear Difference Equations with a Non-Positive Neutral Term

We shall present new oscillation criteria of second order nonlinear difference equations with a non-positive neutral term of the form \(\Delta(a(t)(\Delta(x(t)-p(t)x(t-k)))^{\gamma})+q(t)x^{\beta}(t+1-m)=0,\) with positive coefficients. Examples are given to illustrate the main results.

Bibliographic Details
Main Authors: Said R. Grace, Shurong Sun, Limei Feng, Ying Sui
Format: Article
Language:English
Published: Ptolemy Scientific Research Press 2018-09-01
Series:Open Journal of Mathematical Sciences
Subjects:
oscillation
second order
neutral difference equation
non-positive neutral term.
Online Access:https://pisrt.org/psr-press/journals/oms-vol-2-2018/oscillatory-behavior-of-second-order-nonlinear-difference-equations-with-a-non-positive-neutral-term/

Internet

https://pisrt.org/psr-press/journals/oms-vol-2-2018/oscillatory-behavior-of-second-order-nonlinear-difference-equations-with-a-non-positive-neutral-term/

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