时滞微分差分系统的最小周期问题--天元数学交流项目

项目名称： 时滞微分差分系统的最小周期问题--天元数学交流项目

项目编号： No.11726507

项目类型： 专项基金项目

立项/批准年度： 2018

项目学科： 数理科学和化学

项目作者： 郭志明

作者单位： 广州大学

项目金额： 29万元

中文摘要： 该天元数学交流项目主要针对时滞微分差分系统的最小周期问题，邀请国内外相关研究领域的著名专家学者展开系统的、深层次的交流和研讨，以学术报告和自由讨论相结合的方式进行。具体说来，本次活动预计为一周时间，拟邀请国内外在时滞微分差分系统周期解理论方面有杰出成就的著名专家学者参加活动。同时，也邀请部分在Hamilton系统与离散系统等领域周期解理论研究中做出重要贡献的著名学者参加本次活动，介绍各自领域中研究最小周期问题的研究方法和进展。通过本次活动，分析、综合和比较不同的研究方法，为时滞微分差分系统周期解的最小周期问题，寻求新的方法和技巧，找到新的研究思路，并且带动Hamilton系统与离散系统等领域相关问题的研究。

中文关键词： 周期解；存在性；唯一性；多重性；最小周期

英文摘要： This Tianyuan mathematical academic exchange project mainly focus on the minimal period problems for periodic solutions to delay differential and difference equations. In order to find effective methods to cope with such problems, we will invite some leading mathematicians all over the world in the field of delay differential and difference equations and related fields to exchange and disseminate their researches by means of talks and discussions. Specifically, this academic activity will last about one week. Some famous mathematicians in the field of delay differential and difference equations will be invited. Several famous scholars, who made great contributions to the development of periodic solution theory in the field of Hamiltonian systems and discrete systems, are also welcomed to participate in the activity and they will be invited to introduce their research methods and recent development on related problems. By analysis, comparison and discussion on this topic arising from different areas, this Tianyuan mathematical academic exchange program is helpful for establishing new methods and approaches to deal with the minimal period problems to delay differential and difference equations. Also, it will provide new insight to the related problems in the field of Hamiltonian systems and discrete systems.

英文关键词： periodic solutions;existence;uniqueness;multiplicity;minimal period