作 者: ;
机构地区: 广州大学数学与信息科学学院
出 处: 《广州大学学报(自然科学版)》 2010年第1期6-9,共4页
摘 要: 考虑了二阶次二次差分方程Δ2xn-1-A(n)xn+V(n,xn)=0在无周期条件时的同宿轨问题.仅对A(n)与V加适当的条件,运用临界点理论得到了关于其同宿轨的存在性结果. In this paper we consider the existence of homoclinic solutions for the following subquadratic second- order difference equations △^2xn-1-A(n)xn+△↓V(n,xn)=0 .Adopting some reasonable assumptions for A and V,we obtain a new criterion for guaranteeing the above equations which have one nontrivial homoclinie solution by use of a standard minimizing argument in critical point theory.