扰动二阶自共轭差分方程解的渐近性质(英文)  

Asymptotic Behavior of Solutions of Second Order Self-Adjoint Difference Equations With Disturbing Terms

作　　者：吴春青[1] 

机构地区：[1]江苏石油化工学院,常州213016

出　　处：《数学研究》2001年第1期22-26,共5页Journal of Mathematical Study

摘　　要：研究了差分方程△ (cn △zn) +anzn +1=f(n ,zn ,zn +1)的系数和扰动项满足的条件 ,使得方程有解具有性质limn→∞ zn=α或limn→∞znCn=β ,这里α ,β为实数 ,Cn = nj=1c- 1j .In this paper,we study the asymptotic properties of the solutions of the following equation (A) △(c n △z n )+a n z n+1 =f(n,z n ,z n+1 ) and obtain several sufficient conditions which guarantee that (A) has the asymptotic properties lim n→∞ z n =α or lim n→∞ z n C n =β ,where α,β are real numbers and C n =nj=1c -1 j .

关 键 词：渐近性质 差分方程 扰动项 二阶 自共轭 解 

分 类 号：O241.3[理学—计算数学]