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自治差分方程解的有界性
引用本文:贾兴德,崔学伟. 自治差分方程解的有界性[J]. 河南师范大学学报(自然科学版), 1987, 0(1)
作者姓名:贾兴德  崔学伟
作者单位:河南师范大学数学系,河南师范大学数学系 研究生
摘    要:本文利用定性方法,给出纯量自治差分方程x(n+1)=f(x(n))n∈N的任意解有界的若干充分条件

关 键 词:自治差分方程  解的有界性

ON BOUNDNESS OF SOLUTIONS OF AUTONOMOUS DIFFERENCE EQUATIONS
Jia Xingde Cui Xuewei. ON BOUNDNESS OF SOLUTIONS OF AUTONOMOUS DIFFERENCE EQUATIONS[J]. Journal of Henan Normal University(Natural Science), 1987, 0(1)
Authors:Jia Xingde Cui Xuewei
Affiliation:Jia Xingde Cui Xuewei
Abstract:Up to now, very few papers are devoted to the study of boundness of solutions of difference equations, although it is essential both for the theory itself and for its applications. The present paper considers the boundness of solutions of autonomous difference equations. Some sufficient conditions are established in this paper. In the end of the paper, a number of examples are given, from which, it can be seen that the results in the paper are quite sharp.
Keywords:Autonomous difference equations  boundness of solutions
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