电报方程的正双周期解: 存在性、唯一性、多重性和渐近性

数学物理学报 ›› 2022, Vol. 42 ›› Issue (5): 1360-1380.

电报方程的正双周期解: 存在性、唯一性、多重性和渐近性

邓楠(),冯美强*()

^{北京信息科技大学理学院北京 100192}

收稿日期:2022-01-22 出版日期:2022-10-26 发布日期:2022-09-30
通讯作者: 冯美强 E-mail:18810392077@163.com;meiqiangfeng@sina.com
作者简介:邓楠, E-mail: 18810392077@163.com
基金资助:
北京市自然科学基金(1212003)

Positive Doubly Periodic Solutions To Telegraph Equations: Existence, Uniqueness, Multiplicity and Asymptotic Behavior

Nan Deng(),Meiqiang Feng*()

^{School of Applied Science, Beijing Information Science & Technology University, Beijing 100192}

Received:2022-01-22 Online:2022-10-26 Published:2022-09-30
Contact: Meiqiang Feng E-mail:18810392077@163.com;meiqiangfeng@sina.com
Supported by:
the Beijing Natural Science Foundation of China(1212003)

摘要/Abstract

摘要：

应用拓扑度理论和凸算子理论, 该文讨论了一类电报方程正双周期解的存在性、唯一性和多重性, 以及电报方程正双周期解的渐近性.

关键词: 电报方程, 正双周期解, 存在性、唯一性和多解性, 渐近性, 凸算子

Abstract:

By using topological degree theory and the theory of convex operator, this paper discusses the existence, uniqueness and multiplicity of positive doubly periodic solutions to a class of telegraph equations, as well as the asymptotic behavior of positive doubly periodic solutions for telegraph equations.

Key words: Telegraph equation, Positive doubly periodic solution, Existence, uniqueness and multiplicity, Asymptotic behavior, Convex operator

中图分类号:

O175.2

邓楠,冯美强. 电报方程的正双周期解: 存在性、唯一性、多重性和渐近性[J]. 数学物理学报, 2022, 42(5): 1360-1380.

Nan Deng,Meiqiang Feng. Positive Doubly Periodic Solutions To Telegraph Equations: Existence, Uniqueness, Multiplicity and Asymptotic Behavior[J]. Acta mathematica scientia,Series A, 2022, 42(5): 1360-1380.

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