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一类带积分边界二阶非线性常微分方程正解的存在性

Existence of positive solutions for a type of second-order nonlinear ordinary differential equations with integral boundary conditions
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摘要 利用锥拉伸锥压缩不动点定理,研究了一类带积分边界的二阶常微分非局部问题正解的存在性,得到了至少一个正解存在的充分条件,同时给出了相应边值问题的积分核. By using the fixed-point theorem in cones,the existence of positive solutions was studied for a type of second-order nonlinear ordinary differential equations with integral boundary conditions.The sufficient conditions were obtained for at least one positive solution.Moreover,the associated integral kernels for boundary value problems were given.
作者 柳树 贾梅 田应强
机构地区 上海理工大学理学院
出处 《上海理工大学学报》 CAS 北大核心 2010年第4期381-384,390,共5页 Journal of University of Shanghai For Science and Technology
基金 上海市教育委员会科研创新基金重点资助项目(10ZZ93)
关键词 边值问题 正解 锥上不动点定理 积分边界 boundary value problem positive solution fixed-point theorem in cones integral boundary condition
分类号 O175.8 [理学—基础数学]
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参考文献13

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二级参考文献5

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上海理工大学学报
2010年 第4期

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