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

Autor: Shuhui Wu, Pargat Singh Calay, Zhanyuan Hou
Jazyk: angličtina
Rok vydání: 2015
Předmět:
Zdroj: Electronic Journal of Differential Equations, Vol 2015, Iss 128,, Pp 1-14 (2015)
Druh dokumentu: article
ISSN: 1072-6691
Popis: In this article, we study the oscillatory behavior of solutions to even-order nonlinear neutral difference equations of the form $$ \Delta^m_\tau( x(t)-px(t-r))+f(t,x(g(t)))=0. $$ 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.
Databáze: Directory of Open Access Journals