一类三阶中立型微分方程多重周期解的存在性

郭承军;徐远通;郭志明;

数学学报 ›› 2009 ›› Issue (04) : 115-128.

中国科学院数学与系统科学研究院期刊网
数学学报 ›› 2009 ›› Issue (04) : 115-128. DOI: 10.12386/A2009sxxb0090
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一类三阶中立型微分方程多重周期解的存在性

    郭承军;徐远通;郭志明;
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Existence of Multiple Periodic Solutions for a Class of Three-Order Neutral Differential Equations

    Cheng Jun GUO School of Applied Mathematics,Guangdong University of Technology, Guangzhou 510006,P.R.China Yuan Tong XU Department of Mathematics,Sun Yat-Sen University,Guangzhou 510275,P.R.China Zhi Ming GUO College of Mathematics and Information Science
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摘要

利用临界点理论和S~1-指标理论研究了一类三阶中立型微分差分方程的多重周期解,得出了有关新的结果.

Abstract

By the critical theory and S~1-index theory,we obtain some new results of the existence and multiplicity of periodic solutions for a class of three-order neutral differential equations.

关键词

中立型微分方程 / 临界点理论 / 多重周期解

Key words

multiple periodic solutions / neutral differential equation / critical point theory

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郭承军;徐远通;郭志明;. 一类三阶中立型微分方程多重周期解的存在性. 数学学报, 2009(04): 115-128 https://doi.org/10.12386/A2009sxxb0090
Cheng Jun GUO School of Applied Mathematics,Guangdong University of Technology, Guangzhou 510006,P.R.China Yuan Tong XU Department of Mathematics,Sun Yat-Sen University,Guangzhou 510275,P.R.China Zhi Ming GUO College of Mathematics and Information Science. Existence of Multiple Periodic Solutions for a Class of Three-Order Neutral Differential Equations. Acta Mathematica Sinica, Chinese Series, 2009(04): 115-128 https://doi.org/10.12386/A2009sxxb0090

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