摘要
研究一类带积分边界条件的奇异二阶边值问题,通过计算给出齐次边界条件下边值问题的格林函数及性质.在满足假设条件下,利用锥上的不动点定理,得到了参数λ的精确区间,使参数λ取区间中任意值均能确保边值问题至少存在1个正解.
In this article,a singular second-order boundary value problem with integral boundary conditions is investigated.The Green＇s function for boundary value problem subject to homogeneous boundary conditions and its properties are obtained.By using the fixed point theory on cones,an explicit interval forλis derived such that for anyλin this interval,the existence of at least one positive solution to the boundary value problem is guaranteed.
出处
《河北师范大学学报（自然科学版）》
CAS
2015年第1期11-18,共8页
Journal of Hebei Normal University：Natural Science
基金
国家自然科学基金(11271106)
河北省自然科学基金(A2012506010)
关键词
正解
积分边界条件
格林函数
不动点定理
positive solution
integral boundary condition
Green＇s function
fixed point theory
