吉林大学学报（理学版）2017，Vol.55Issue(2)：257-261,5.DOI:10.13413/j.cnki.jdxblxb.2017.02.12
一类非线性二阶差分方程Robin问题多个正解的存在性
Existence of Multiple Positive Solutions for a Class of Nonlinear Second-Order Difference Equation with Robin Problems
摘要
Abstract
Using the fixed point index theory,the author considered the existence of multiple positive solutions for a class of second-order difference equation with Robin problems{-Δ2u(t-1)=λf(u(t)), t∈?[1,T-1],Δu(0)=0, u(T)=0, where ?[1,T-1]={1,2,…,T-1},f:[0,∞)→[0,∞)is continuous functions with multiple zeros,λ>0 is a parameter.Under certain assumptions,the author discussed the relationship between the number of zeros of nonlinear term and the number of the solutions of the problems.关键词
Robin问题/差分方程/多解性/不动点指数Key words
Robin problem/difference equation/multiplicity/fixed point index分类
数理科学引用本文复制引用
龙严..一类非线性二阶差分方程Robin问题多个正解的存在性[J].吉林大学学报（理学版）,2017,55(2):257-261,5.基金项目
国家自然科学基金(批准号:11671322)和国家自然科学基金天元基金(批准号:11626016). （批准号:11671322）
