Existence of Almost Periodic and Almost Automorphic Solutions for Second Order Differential Equations

机译：二阶微分方程的概周期和概自解的存在性

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摘要

This paper deals with the problem of the existence of almost periodic and almost automorphic solutions to some nonlinear second order differential equation. The result can be obtained by a classical application of Leray-Schauder degree theory and a method of comparison function.

机译：本文讨论了一些非线性二阶微分方程的概周期和概自解的存在性问题。可以通过经典应用Leray-Schauder度理论和比较函数方法来获得结果。

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来源
《Computational Intelligence and Security (CIS), 2011 Seventh International Conference on》|2011年|p.1488-1492|共5页
会议地点 Sanya(CN)
作者
Li Lan;
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原文格式 PDF
正文语种 eng
中图分类人工智能理论;
关键词
Leray-Schauder degree; almost automorphic; almost periodic; fixed point;

机译：Leray-Schauder程度；几乎同胚；几乎周期；定点;

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专利

1. Periodic, quasi-periodic, almost periodic, almost automorphic, Birkhoff recurrent and Poisson stable solutions for stochastic differential equations [J] . Journal of Differential Equations . 2020,第4期

机译：周期性，准周期性，几乎定期的，几乎同时的随机微分方程的泊松稳定和泊松稳定解决方案
2. A decomposition theorem for bounded solutions and the existence of periodic solutions of periodic differential equations [J] . Naito T., Miyazaki R., Shin JS., Journal of Differential Equations . 2000,第1期

机译：有界解的分解定理和周期微分方程周期解的存在性
3. Existence of Asymptotically Almost Automorphic Mild Solutions of Semilinear Fractional Differential Equations [J] . Junfei Cao, Zaitang Huang, Gaston M. NGurkata International Journal of Differential Equations . 2018,第1期

机译：半线性分数阶微分方程的渐近概自同构和解的存在性
4. Existence of Almost Periodic and Almost Automorphic Solutions for Second Order Differential Equations [C] . Li Lan International Conference on Computational Intelligence and Security . 2011

机译：二阶微分方程几乎定期和几乎同时的存在性
5. Massera-type results for C(n)-almost automorphic solutions of some differential equations [D] . Nelson, Valerie N. 2009

机译：一些微分方程C（n）-近自同构解的Massera型结果
6. Existence of Periodic Solutions for Certain Differential Equations [O] . S. Lefschetz 1943

机译：一类微分方程周期解的存在性
7. A Decomposition Theorem for Bounded Solutions and the Existence of Periodic Solutions of Periodic Differential Equations [O] . Naito Toshiki, Van Minh Nguyen, Miyazaki Rinko, 2000

机译：有界解的分解定理和周期微分方程周期解的存在性。
8. ALMOST AUTOMORPHIC AND ALMOST PERIODIC SOLUTIONS OF DIFFERENTIAL EQUATIONS [R] . William A. Veech 1963

机译：微分方程的几乎自动和几乎周期解

Existence of Almost Periodic and Almost Automorphic Solutions for Second Order Differential Equations

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