Exponential stability of Itô-type evolution differential equations of first and second order

被引:0
|
作者
Król M. [1 ]
机构
[1] Politechnika Rzeszówska, Rzeszów
关键词
Stochastic Differential Equation; Strong Solution; Exponential Stability; Heat Conduction Equation; Separable Hilbert Space;
D O I
10.1007/s10958-011-0294-x
中图分类号
学科分类号
摘要
The exponential stability of evolution differential equations obtained on the basis of heat conduction equations is studied. To determine the boundaries of stochastic stability of the solution of these equations, we use the method of construction of a Lyapunov functional. © 2011 Springer Science+Business Media, Inc.
引用
收藏
页码:243 / 253
页数:10
相关论文
共 50 条
  • [41] On the stability of solutions of neutral differential equations of first order
    Akbulut, Irem
    Tunc, Cemil
    INTERNATIONAL JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE, 2019, 14 (04): : 849 - 866
  • [42] NOTE ON THE STABILITY OF FIRST ORDER LINEAR DIFFERENTIAL EQUATIONS
    Bojor, Florin
    OPUSCULA MATHEMATICA, 2012, 32 (01) : 67 - 74
  • [43] STABILITY IN THE CLASS OF FIRST ORDER DELAY DIFFERENTIAL EQUATIONS
    Gselmann, Eszter
    Kelemen, Anna
    MISKOLC MATHEMATICAL NOTES, 2016, 17 (01) : 281 - 291
  • [44] An exponential stability criterion for nonlinear second-order functional differential equations with time-variable delays
    Li, Cui
    Zhang, Chengjian
    APPLIED MATHEMATICS AND COMPUTATION, 2018, 328 : 119 - 124
  • [45] Ulam type stability of first-order linear impulsive fuzzy differential equations
    Liu, Rui
    Wang, JinRong
    O'Regan, Donal
    FUZZY SETS AND SYSTEMS, 2020, 400 : 34 - 89
  • [46] Stationary solutions and stability of second order random differential equations
    Bezen, A
    Klebaner, FC
    PHYSICA A, 1996, 233 (3-4): : 809 - 823
  • [47] Aboodh transform and the stability of second order linear differential equations
    Ramdoss Murali
    Arumugam Ponmana Selvan
    Choonkil Park
    Jung Rye Lee
    Advances in Difference Equations, 2021
  • [49] Conditional stability for a class of second-order differential equations
    Avramescu, C
    Mustafa, OG
    Rogovchenko, SP
    Rogovchenko, YV
    APPLIED MATHEMATICS LETTERS, 2005, 18 (11) : 1304 - 1311
  • [50] Existence and impulsive stability for second order retarded differential equations
    Gimenes, L. P.
    Federson, M.
    APPLIED MATHEMATICS AND COMPUTATION, 2006, 177 (01) : 44 - 62