journal6 ›› 2013, Vol. 34 ›› Issue (5): 6-10.DOI: 10.3969/j.issn.1007-2985.2013.05.003

• 数学 • 上一篇    下一篇

一个具Hysteresis的电报方程

徐龙封, 薛亮   

  1. (1.安徽工业大学数理学院,安徽 马鞍山 243002;2.安徽工业职业技术学院基础部,安徽 铜陵 244000)
  • 出版日期:2013-09-25 发布日期:2013-11-04

A Telegraph Equation with Hysteresis

XU Long-feng,XUE Liang   

  1. (1.School of Math. & Phys.,Anhui University of Technology,Maanshan 243002,Anhui China;2.Department of Basic Courses,Anhui Vocational and Technology College,Tongling 244000,Anhui China)
  • Online:2013-09-25 Published:2013-11-04
  • About author:XU Long-feng(1952-),male,was born in Anqing City,professor of School of Math. & Phys.,Anhui University of Technology;research area is partial differential equations.
  • Supported by:

    Supported by National Natural Science Foundation of China (11001001);Natural Science Foundation of Anhui Province Office of Education (KJ2010A043)

摘要:讨论一个具Hysteresis的电报方程.首先给出Ishlinskiǐ hysteresis算子的一些性质,然后得到这个方程C1+α,α强解存在性.

关键词: Ishlinskiǐ hysteresis算子, 电报方程, 单调算子, 强解

Abstract: This paper discusses a telegraph equation with hysteresis.First,the properties of Ishlinskiǐ hysteresis operator are given.Secondly,the existence of a C1+α,α strong solution is obtained to this equation.

Key words: Ishlinskiǐ hysteresis operator, telegraph equation, monotone operator, strong solution

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