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论文摘要

一类一阶泛函微分方程正周期解的存在性

Existence of positive periodic solutions for a class of first-order functional differential equations

作者:祝岩(西北师范大学数学与统计学院)

Author:ZHU Yan(College of Mathematics and Statistics, Northwest Normal University)

收稿日期:2018-10-16          年卷(期)页码:2019,56(4):607-613

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:存在性; 全局结构; 正周期解; 全局分歧理论; 泛函微分方程

Key words:Existence; Global structure; Positive periodic solution; Global bifurcation theorem; Functional differential equation

基金项目:国家自然科学基金(11671322)

中文摘要

本文运用全局分歧理论研究了一类一阶泛函微分方程正周期解的存在性.本文构造出了上述一阶泛函微分方程正周期解的全局结构,获得了该一阶泛函微分方程正周期解的存在性结果.

英文摘要

In this paper, we use global bifurcation theorem to consider the existence of positive periodic solutions of a class of first-order functional differential equations We construct the global structure of the set of positive periodic solutions of the first-order functional differential equations, and accordingly, establish some existence results of the positive periodic solutions of the first-order functional differential equations.

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