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

• Mathematics • Previous Articles     Next Articles

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)

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

WeChat e-book chaoxing Mobile QQ