Title of article :
Uncountably many solutions of a third order nonlinear difference equation with neutral delay
Author/Authors :
Liu ، Zeqing - Liaoning Normal University , Zhang ، Xiaoying - Liaoning Normal University , Ume ، Jeong Sheok - Changwon National University , Kang ، Shin Min - Gyeongsang National University
Abstract :
In this paper, by using the Schauder fixed point theorem, Krasnoselskii fixed point theorem and some new techniques, we obtain the existence of uncountably many solutions for a third order nonlinear difference equation with neutral delay of the form { Mathematical Formulas } The results presented improve and generalize some results in literatures. Seven examples are given to illustrate the results presented in this paper.
Keywords :
Third order nonlinear difference equation with neutral delay , uncountably many solutions , Schauder fixed point theorem , Krasnoselskii fixed point theorem
Journal title :
Journal of Nonlinear Science and Applications
Journal title :
Journal of Nonlinear Science and Applications
