Positive Solutions for Second-Order Singular Difference Equation with Nonlinear Boundary Conditions  

作　　者：Huijuan LI Alhussein MOHAMED Chenghua GAO 

机构地区：[1]Department of Mathematics,Northwest Normal University,Gansu 730070,P.R.China

出　　处：《Journal of Mathematical Research with Applications》2023年第1期101-108,共8页数学研究及应用（英文版）

基　　金：Supported by the National Natural Science Foundation of China(Grant No.11961060).

摘　　要：In this paper,we discuss the existence of positive solutions for the second-order singular difference equation boundary value problem -Δ^(2)u(t-1)=λg(t)f(u).t∈[1,T]_(z),u(0)=0,Δu(T)+c(u(T+1))u(T+1)=0,where λ> 0 is a positive parameter,f:(0,∞)→R is continuous,and is allowed to be singular at 0.The existence of positive solutions is established via introducing a new complete continuous operator.

关 键 词：difference equation nonlinear boundary conditions positive solutions 

分 类 号：O175.8[理学—数学]