A class of reaction-diffusion equations with hysteresis differential operator

被引:0
|
作者
Longfeng X. [1 ]
机构
[1] Dept. Of Math. And Phys., Anhui Univ. Of Technology, Maanshan
关键词
Hysteresis operator; Induced operator; Regular standing point; Weak convergence;
D O I
10.1007/s11766-002-0024-8
中图分类号
学科分类号
摘要
In this paper, the classical and weak derivatives with respect to spatial variable of a class of hysteresis functional are discussed. Some conclusions about solutions of a class of reaction-diffusion equations with hysteresis differential operator are given. © 2002, Springer Verlag. All rights reserved.
引用
收藏
页码:48 / 56
页数:8
相关论文
共 50 条
  • [1] A CLASS OF REACTION-DIFFUSION EQUATIONS WITH HYSTERESIS DIFFERENTIAL OPERATOR
    Xu LongfengDept. of Math. and Phys.
    [J]. Applied Mathematics:A Journal of Chinese Universities, 2002, (01) : 48 - 56
  • [2] REACTION-DIFFUSION EQUATIONS WITH SPATIALLY DISTRIBUTED HYSTERESIS
    Gurevich, Pavel
    Shamin, Roman
    Tikhomirov, Sergey
    [J]. SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2013, 45 (03) : 1328 - 1355
  • [3] On a Class of Reaction-Diffusion Equations with Aggregation
    Chen, Li
    Desvillettes, Laurent
    Latos, Evangelos
    [J]. ADVANCED NONLINEAR STUDIES, 2021, 21 (01) : 119 - 133
  • [4] A CLASS OF SINGULAR FIRST ORDER DIFFERENTIAL EQUATIONS WITH APPLICATIONS IN REACTION-DIFFUSION
    Enguica, Ricardo
    Gavioli, Andrea
    Sanchez, Luis
    [J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2013, 33 (01) : 173 - 191
  • [5] Spatially discrete reaction-diffusion equations with discontinuous hysteresis
    Gurevich, Pavel
    Tikhomirov, Sergey
    [J]. ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 2018, 35 (04): : 1041 - 1077
  • [6] SYSTEMS OF REACTION-DIFFUSION EQUATIONS WITH SPATIALLY DISTRIBUTED HYSTERESIS
    Gurevich, Pavel
    Tikhomirov, Sergey
    [J]. MATHEMATICA BOHEMICA, 2014, 139 (02): : 239 - 257
  • [7] Reaction-diffusion and phase waves occurring in a class of scalar reaction-diffusion equations
    Needham, DJ
    Barnes, AN
    [J]. NONLINEARITY, 1999, 12 (01) : 41 - 58
  • [8] The evolution of reaction-diffusion waves in a class of scalar reaction-diffusion equations: algebraic decay rates
    Leach, JA
    Needham, DJ
    Kay, AL
    [J]. PHYSICA D-NONLINEAR PHENOMENA, 2002, 167 (3-4) : 153 - 182
  • [9] GLOBAL STABILIZATION OF A CLASS OF NONLINEAR REACTION-DIFFUSION PARTIAL DIFFERENTIAL EQUATIONS BY BOUNDARY FEEDBACK
    Karafyllis, Iasson
    Krstic, Miroslav
    [J]. SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2019, 57 (06) : 3723 - 3748
  • [10] Reaction-Diffusion Models for a Class of Infinite-Dimensional Nonlinear Stochastic Differential Equations
    da Costa, Conrado
    Paulo da Costa, Bernardo Freitas
    Valesin, Daniel
    [J]. JOURNAL OF THEORETICAL PROBABILITY, 2023, 36 (02) : 1059 - 1087