带积分边界条件的非线性二阶常微分方程多个正解的存在性  

Existence of Multiple Positive Solutions for Nonlinear Second-Order Ordinary Differential Equations with Integral Boundary Conditions

作　　者：康慧君 

机构地区：[1]西北师范大学数学与统计学院,甘肃 兰州

出　　处：《理论数学》2021年第6期1067-1075,共9页Pure Mathematics

摘　　要：运用锥上的 Krasnoselskii’s 不动点定理,考虑了二阶积分边值问题 多个正解的存在性,其中0 2是参数,f:[0,1]×[0,∞)→[0,∞)是连续函数,a:[0,1]→[0,+∞)是连续函数,且在[0,1]的任一子区间上不恒为零.In this paper, we study existence of multiple positive solutions for second-order ordinary differential equations with integral boundary problem by the Krasnoselskii’s fixed point theorem on cones. where 0 2 is a parameter, f:[0,1]×[0,∞)→[0,∞) is continuous, a:[0,1]→[0,+∞) is continuous, and a(t) ≢ 0 on any subinterval of [0,1].

关 键 词：积分边界条件 二阶 多个正解 Krasnoselskii’s不动点定理 

分 类 号：O17[理学—数学]