一类非线性二阶常微分方程周期问题正解的存在性

Existence of positive solutions for a class of nonlinear second-order periodic problems

作者：马满堂(西北师范大学数学与统计学院)

Author：MA Man-Tang(College of Mathematics and Statistics, Northwest Normal University)

收稿日期：2017-12-27 年卷（期）页码：2018,55(4):693-697

期刊名称：四川大学学报: 自然科学版

Journal Name：Journal of Sichuan University (Natural Science Edition)

关键字：周期问题；锥；正解；存在性

Key words：Peroidic problem; Cone; Positive solution; Existence

基金项目：国家自然科学基金(11671322,11361054)

中文摘要

本文研究了非线性二阶常微分方程周期边值问题正解的存在性.主要结果的证明基于锥拉伸与压缩不动点定理.

英文摘要

In this paper, we consider the existence of positive solutions for the nonlinear second-order periodic problems. The proofs of the main results are based on the fixed-point theorem of cone expansion-compression.

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论文摘要

一类非线性二阶常微分方程周期问题正解的存在性

Existence of positive solutions for a class of nonlinear second-order periodic problems