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二阶常微分方程组边值问题正解的存在性 被引量：2

Existence of positive solutions of boundary value problem for second-order ordinary differential systems
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摘要 利用锥上不动点定理,研究了一类二阶非线性常微分方程组四点边值问题正解的存在性.在非线性项满足一定增长的条件下,得到了至少一个和两个正解存在的几个充分条件. By using the fixed point theorem in a cone, the existence of positive solutions of boundary value problem for nonlinear second-order four-point ordinary differential equations system was studied. Under certain growth conditions on the nonlinearities, several sufficient conditions for the existence of at least one or two positive solutions were obtained.
作者 席守亮 贾梅 纪慧鹏
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 2009年第4期318-321,共4页 Journal of University of Shanghai For Science and Technology
关键词 方程组 不动点定理 正解 存在性 边值问题 equations systems fixed point theorems positive solutions existences boundary value problem
分类号 O175.8 [理学—基础数学]
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参考文献5

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二级参考文献2

共引文献43

同被引文献17

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上海理工大学学报
2009年 第4期

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