一类非线性差分方程的平衡解及解的渐近性和有界性  

Steady Solutions Asymptotic Behavior and Bounded Behavior for A Nonlinear Difference Equation

作　　者：明亚东[1] 安存斌[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）》2010年第4期3-5,共3页Journal of Shanxi Datong University(Natural Science Edition)

摘　　要：研究了一类非线性差分方程的平衡解与解的渐近性和有界性,利用差分不等式得到解的渐近性的一些充分条件,利用归纳法证明了方程的解是有界的.In this paper,steady solutions and asymptotic behavior and bound behavior of solutions for a nonlinear difference equation are studied,the sufficient conditions for asymptotic behavior of solutions are acquired with difference inequations,and we demonstrate that every solutions of the equation is bounded by induction.

关 键 词：差分方程 平衡解 渐近性 有界性 

分 类 号：O151.22[理学—数学]