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《山东大学学报(理学版)》 ›› 2021, Vol. 56 ›› Issue (2): 92-96.doi: 10.6040/j.issn.1671-9352.0.2020.084

• • 上一篇    

状态依赖型时滞微分方程的解流形及其C1-光滑性

马维凤,陈鹏玉*   

  1. 西北师范大学数学与统计学院, 甘肃 兰州 730070
  • 发布日期:2021-01-21
  • 作者简介:马维凤(1995— ),女,硕士研究生,研究方向为非线性分析与抽象空间常微分方程. E-mail:1513845877@qq.com*通信作者简介:陈鹏玉(1986— ),男,博士,副教授,硕士生导师,研究方向为非线性分析与抽象空间常微分方程. E-mail:chpengyu123@163.com
  • 基金资助:
    国家自然科学基金资助项目(12061063);西北师范大学青年教师科研能力提升计划资助项目(NWNU-LKQN2019-3)

Solution manifold and its C1-smoothness for differential equations with state-dependent delay

MA Wei-feng, CHEN Peng-yu*   

  1. College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, Gansu, China
  • Published:2021-01-21

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摘要： 在非线性函数满足Lipschitz连续的条件下,研究了有限维空间中状态依赖型时滞微分方程的解流形及其C1-光滑性。

关键词: 状态依赖型时滞, 非线性函数, 解流形, Lipschitz 连续, C1-光滑性

Abstract: This paper investigates the existence of solution manifolds and its C1-smoothness for differential equations with state-dependent delay in finite dimensional space under the condition that the nonlinear function is Lipschitz continuous.

Key words: state-dependent delay, nonlinear function, solution manifold, Lipschitz continuous, C1-smoothness

中图分类号: 

  • O175.15
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