带弱奇性的二阶阻尼微分方程正周期解的存在性

doi:10.6040/j.issn.1671-9352.0.2016.610

山东大学学报（理学版） ›› 2017, Vol. 52 ›› Issue (10): 84-88.doi: 10.6040/j.issn.1671-9352.0.2016.610

带弱奇性的二阶阻尼微分方程正周期解的存在性

何志乾¹, 苗亮英²

1. 青海大学基础课教学与研究部, 青海西宁 810016;2. 青海民族大学数学与统计学院, 青海西宁 810007

收稿日期:2016-12-30 出版日期:2017-10-20 发布日期:2017-10-12
作者简介:何志乾(1987— ), 男, 硕士, 助教, 研究方向为非线性常微分方程边值问题.E-mail: zhiqianhe1987@163. com
基金资助:
青海大学2015年度中青年基金(2015-QGY-12)

Periodic solutions for second order singular damped differential equations with a weak singularity

1. Teaching and Research Department of Basic Courses, Qinghai University, Xining 810016, Qinghai, China;
2. College of Mathematics and Statistics, Qinghai Nationalities University, Xining 810007, Qinghai, China

Received:2016-12-30 Online:2017-10-20 Published:2017-10-12

摘要/Abstract

摘要： 通过研究一类带周期边界条件的二阶微分算子的性质, 运用 Schauder 不动点定理获得了一类奇异二阶阻尼微分方程正周期解的存在性, 所得结论推广和改进了已有工作的相关结果。

关键词: 正周期解, 阻尼, 存在性

Abstract: This article study some qualitative properties of the second order differential operator with periodic conditions, by using the Schauders fixed-point theorem. We obtained the existence of positive periodic solutions of a class of singular second-order damped differential equations. The conclusions in this paper perfect the existed results.

Key words: positive periodic solutions, damped, existence

中图分类号:

O175.8

何志乾, 苗亮英. 带弱奇性的二阶阻尼微分方程正周期解的存在性[J]. 山东大学学报（理学版）, 2017, 52(10): 84-88.

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带弱奇性的二阶阻尼微分方程正周期解的存在性

Periodic solutions for second order singular damped differential equations with a weak singularity

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