摘要
运用不动点指数理论,获得了非线性四阶差分方程边值问题Δ4u(t-2)=λf(t,u(t)),t∈T2,u(0)=u(T+2)=Δu(0)=Δu(T+1)=0正解的存在性准则,其中,T2={2,3,…,T},f:T2×R→[0,∞)连续且T>4,λ>0为参数.
The existcnce criterion of positive solutions of the nonlinear fourth-order difference equation boundary value problem was obtained:by using the fixed point index theorem, where T2={2,3,…,r,},f:T2×R→[0,∞) was continuous, T 〉 4 and λ 〉 0 was a parameter.
出处
《郑州大学学报(理学版)》
CAS
北大核心
2013年第4期30-36,共7页
Journal of Zhengzhou University:Natural Science Edition
关键词
四阶差分方程
正解
存在性
不动点指数
fourth-order difference equation
positive solution
existence
fixed point index