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格微分方程的行波解研究简介
  • ISSN号：1000-0917
  • 期刊名称：《数学进展》
  • 时间：0
  • 分类：O175.26[理学—数学;理学—基础数学]
  • 作者机构：[1]华南师范大学数学科学学院,广州广东510631, [2]华南师范大学学报编辑部,广州广东510631
  • 相关基金：Acknowledgements The authors are grateful to the reviewers＇ valuable comments on the original manuscript which lead to the improvement of this article.Foundation item： Research is supported by NSFC（No. 11171120）, the Doctoral Program of Higher Ed- ucation of China（No. 20094407110001） and the Natural Science Foundation of Cuangdong Province（No. 10151063101000003）.
作者： 李遵先[1,2], 翁佩萱[1]
关键词： 格微分方程, 行波解, 传播失败, 稳定性, 最小波速, 传播速度, lattice differential equation, traveling waves solution, propagation failure, stability, minimal wave speed, spreading speed
中文摘要：

本文介绍了格微分方程关于行波解及其相关渐近性态方面的最新研究进展，如行波解的存在性、唯一性和稳定性，格微分方程的传播失败现象、最小波速和传播速度．本文力求展示相关问题的研究背景和线索脉络，阐述相关结论和研究方法，以期待相关主题研究的进一步深入．

英文摘要：

In this article, we present a short survey on the researching progress of traveling wave solutions and the related topic on asymptotic patterns for lattice differential equations, such as the existence, uniqueness, propagation failure, stability of traveling wave solutions, minimal wave speed and spreading speed. We try to introduce the backgrounds, the known results, the methods and the clues on the study of this topic, and expect the further development of the study.

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期刊信息
  • 《数学进展》
  • 北大核心期刊（2011版）
  • 主管单位:中国科学协术学会
  • 主办单位:中国数学会
  • 主编：丁伟岳
  • 地址：北京大学数学系数学进展编辑部
  • 邮编：100871
  • 邮箱：
  • 电话：
  • 国际标准刊号：ISSN：1000-0917
  • 国内统一刊号：ISSN：11-2312/O1
  • 邮发代号:2-503
  • 获奖情况:
  • 国内外数据库收录:
  • 美国数学评论（网络版）,德国数学文摘,日本日本科学技术振兴机构数据库,中国中国科技核心期刊,中国北大核心期刊（2004版）,中国北大核心期刊（2008版）,中国北大核心期刊（2011版）,中国北大核心期刊（2014版）,中国北大核心期刊（2000版）
  • 被引量:3411