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奇异超线性半正定二阶周期边值问题的正解
引用本文:田颖辉.奇异超线性半正定二阶周期边值问题的正解[J].大学数学,2017,33(3):14-19.
作者姓名:田颖辉
作者单位:阜新高等专科学校师范部,辽宁阜新,123000
基金项目:国家自然科学资助基金项目
摘    要:基于格林函数理论,主要利用Lerray-Schauder抉择定理和上下解方法针对半正定条件下,奇异超线性二阶周期边值问题正解的存在性进行推理证明,获取了奇异超线性二阶周期边值问题的一个正解.

关 键 词:半正定  边值问题  正解  Lerray-Schauder抉择  上下解方法

Positive Solutions to Singular Super-linear SemipositoneSecond-order Periodic Boundary Value Problems
TIAN Ying-hui.Positive Solutions to Singular Super-linear SemipositoneSecond-order Periodic Boundary Value Problems[J].College Mathematics,2017,33(3):14-19.
Authors:TIAN Ying-hui
Abstract:Based on the green function theory, the main use of Lerray-theorem and Schauder choice under the condition of upper and lower solution method for the positive semi-definite, singular superlinear second-order periodic boundary value problems to prove the existence of positive solutions for reasoning, access to the singular superlinear second-order periodic boundary value problem of a positive solution, and applied the conclusion to obtain a corollary.
Keywords:semipositone periodic boundary value problem  positive solution  Lerray-Schauder alternative  the method of upper and lower solutions
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