一类常系数非线性时滞差分方程的有界性和振动性  

Bound Behavior and Oscillation of a Nonlinear Delay Difference Equation with Constant Coefficients

作　　者：明亚东[1] 安存斌[1] 陈慧琴[1] 

机构地区：[1]山西大同大学数学与计算机科学学院,山西大同037009

出　　处：《山西大同大学学报（自然科学版）》2014年第4期4-6,共3页Journal of Shanxi Datong University(Natural Science Edition)

摘　　要：研究了一类常系数非线性时滞差分方程,利用迭代算法和数学归纳法,论证了初值问题的解的存在唯一性及有界性,利用差分方程的比较定理证明了方程的非振动解的存在性。In this paper, a nonlinear delay difference equation with constant coefficients is considered. Existence and bound behavior of the solution of initial value problem are demonstrated by iterate algorithm and mathematical induction. The existence of nonoscillate solution is discussed by comparison theoremof difference equation.

关 键 词：时滞 平衡解 存在性 有界性 振动性 

分 类 号：O175.7[理学—数学]