一类非线性项二阶边值问题正解的存在性

刘洪运; 冯喜忠

刘洪运, 冯喜忠. 一类非线性项二阶边值问题正解的存在性[J]. 信阳师范学院学报(自然科学版), 2008, 21(3): 334-337.

引用本文:

刘洪运, 冯喜忠. 一类非线性项二阶边值问题正解的存在性[J]. 信阳师范学院学报(自然科学版), 2008, 21(3): 334-337.

LIU Hong-yun, FENG Xi-zhong. Existence of Positive Solution to the Problem One Non-linear Second Order Boundary Value[J]. Journal of Xinyang Normal University (Natural Science Edition), 2008, 21(3): 334-337.

Citation:

LIU Hong-yun, FENG Xi-zhong. Existence of Positive Solution to the Problem One Non-linear Second Order Boundary Value[J]. Journal of Xinyang Normal University (Natural Science Edition), 2008, 21(3): 334-337.

一类非线性项二阶边值问题正解的存在性

Existence of Positive Solution to the Problem One Non-linear Second Order Boundary Value

摘要

摘要: 利用上下解方法,构造相应锥映射,运用锥映射不动点定理,给出非线性项变号的二阶两点边值问题正解存在性的判定方法,推广了已有文献中相应的结果.

Abstract: The cone mapping is constructed by employing the upper-solution and lower-solution.Using the fixed point theorems of cone mapping,a method is given to decide the existence of positive solution of second order two points boundary value problem with sign change of nonlinearities.The results of existed literature is generalized.

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