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论文摘要

一类三阶非线性常微分方程边值问题正解的存在性

Existence of positive solutions for a class of boundary value problem of third-order nonlinear ordinary differential equations

作者:赵中姿(西北师范大学数学与统计学院)

Author:Zhao Zhong-Zi(College of Mathematics and Statistics, Northwest Normal University)

收稿日期:2018-03-29          年卷(期)页码:2019,56(2):189-193

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:正解;存在性;特征值;Dancer全局分歧定理

Key words:Positive solution; Existence; Eigenvalue; Dancer global bifurcation theorem

基金项目:国家自然科学基金(11671322)

中文摘要

本文研究了一类三阶非线性常微分方程边值问题正解的存在性.主要结果的证明基于Dancer全局分歧定理.

英文摘要

In this paper,we study the existence of positive solutions of boundary value problem for third-order nonlinear ordinary differential equations. The proof of the main result is based on Dancer global bifurcation theorem.

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