摘要
利用临界点理论讨论了一类二阶自治差分方程xn+1-2xn+xn-1+f(xn)=0(n∈Z,f∈C(Rm,Rm))的非常数周期解的存在性,得到两个非常数周期解存在的充分条件.
The existence of periodic solutions of a class of second-order difference equations was studied. Two important results were obtained, some of which extend some theorems in relevant papers.
出处
《湖南文理学院学报（自然科学版）》
CAS
2007年第2期27-29,39,共4页
Journal of Hunan University of Arts and Science(Science and Technology)
关键词
次线性
差分方程
非平凡周期解
环绕
critical point
subquadratic
difference equa-tion
nontrivial
periodic solution
existence
