Oscillatory Behavior of Solutions of General Third Order Mixed Neutral Difference Equations  

作　　者：Bi-shan ZHANG 

机构地区：[1]School of Mathematics and Computing Science, Guilin University of Electric and Technology

出　　处：《Acta Mathematicae Applicatae Sinica》2015年第2期467-474,共8页应用数学学报（英文版）

基　　金：Supported by Science Research Foundation of Guangxi Education Board under grant YB2014117

摘　　要：The objective of this paper is to study the oscillatory and asymptotic properties of the general mixed type third order neutral difference equation of the form △（aαn△2（xn＋ bnxn-τ1＋ cnxn＋τ2）） ＋ qnx^a n＋1-σ＋ pnx^βn＋1＋=σ2 0,where {an}, {bn}, {cn}, {qn} and {pn} are positive real sequences, both α and β are ratios of odd positive integers, τ1, τ2, σ1 and σ2 are positive integers. We establish some sufficient conditions which ensure all solutions are either oscillatory or converge to zero.The objective of this paper is to study the oscillatory and asymptotic properties of the general mixed type third order neutral difference equation of the form △（aαn△2（xn＋ bnxn-τ1＋ cnxn＋τ2）） ＋ qnx^a n＋1-σ＋ pnx^βn＋1＋=σ2 0,where {an}, {bn}, {cn}, {qn} and {pn} are positive real sequences, both α and β are ratios of odd positive integers, τ1, τ2, σ1 and σ2 are positive integers. We establish some sufficient conditions which ensure all solutions are either oscillatory or converge to zero.

关 键 词：OSCILLATION third order general mixed type neutral difference equation 

分 类 号：O175.7[理学—数学]