期刊信息
- 刊名： 河北师范大学学报（自然科学版）Journal of Hebei Normal University (Natural Science)
- 主办： 河北师范大学
- ISSN： 1000-5854
- CN： 13-1061/N
- 中国科技核心期刊
- 中国期刊方阵入选期刊
- 中国高校优秀科技期刊
- 华北优秀期刊
- 河北省优秀科技期刊
带积分边界条件的奇异二阶边值问题的正解
- 军械工程学院 基础部, 河北 石家庄 050003
-
DOI：10.13763/j.cnki.jhebnu.nse.2015.01.003
Positive Solutions for Singular Second-order Boundary Value Problems with Integral Boundary Conditions
摘要/Abstract
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.
Abstract：
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 for λ is derived such that for any λ in this interval, the existence of at least one positive solution to the boundary value problem is guaranteed.
关键词
Key words：
positive solution
;
integral boundary condition
;
Green's function
;
fixed point theory
参考文献 10
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