中北大学学报（自然科学版）2012，Vol.33Issue(1)：60-62,3.DOI:10.3969/j.issn.1673-3193.2012.01.016
二阶非线性差分方程正解的多重性
Multiplicity of Solutions of Second-Order Nonlinear Difference Equations
摘要
Abstract
The variational framework corresponding to a class of the second-order nonlinear difference equations (Pi) with the parameters was obtained. It was proved that the solutions of the problem (Pi) were equivalent to the critical points of the functional (.Jx) in Banach space H. By appling critical point theorem in the setting of finite dimensional Banach space, the multiplicity of solutions for (Px) was investigated. It is proved that, for every A belonging to a well defined open interval, the problem (Pi) has at least three distinct positive solutions.关键词
差分方程/正解/有限维空间/临界点理论Key words
difference equation/ positive solutions/ finite dimensional spaces critical point theory分类
数理科学引用本文复制引用
赵倩茹,张建明..二阶非线性差分方程正解的多重性[J].中北大学学报（自然科学版）,2012,33(1):60-62,3.基金项目
山西省自然科学基金资助项目(2011011002-4) （2011011002-4）
