Oscillation criteria for even-order nonlinear neutral difference equations with continuous variables

Wu, Shuhui, Calay, Pargat Singh and Hou, Zhanyuan (2015) Oscillation criteria for even-order nonlinear neutral difference equations with continuous variables. Electronic Journal of Differential Equations, 2015 (128). pp. 1-14. ISSN 1072-6691

Abstract

In this article, we study the oscillatory behavior of solutions to even-order nonlinear neutral difference equations of the form ∆mτ(x(t) − px(t − r)) + f(t, x(g(t))) = 0. Using an integral transformation, the Riccati transformation, and iteration, we obtain sufficient conditions for all solutions to be oscillatory. Examples are also given to illustrate the obtained criteria.

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