一类含参半正二阶离散周期边值问题正解的存在性

用Guo-Krasnoselskii不动点定理给出半正二阶离散周期边值问题正解的存在性和多解性结果, 其中λ>0为参数, ［1,T］_z={1,2,…,T}, f: ［1,T］_z×［0,∞)→R连续且存在常数D>0, 使得f(t,u)≥-D, (t,u)∈［1,T］_z×［0,∞), a: ［1,T］_z→(0,∞), 02(π/2T).

Existence of Positive Solutions for a Class of Semi-positone Second-Order Discrete Periodic Boundary Value Problem with Parameter

By using the fixed-point theorem of Guo-Krasnoselskii, we give the existence and multiplicity of positive solution for semi-positone second-order discrete periodic boundary value problem, where λ>0 is the parameter, ［1,T］_z={1,2,…,T}, f:  ［［1,T］_z×［0,∞)→R is continuous and there exists constant  D>0,  such that  f(t,u)≥-D, (t,u)∈［1,T］_z×［0,∞),  a: ［［1,T］_z→(0,∞)  and  0sin²(π/2T).