Stochastic nonlinear beam equations

被引:0
|
作者
Zdzisław Brzeźniak
Bohdan Maslowski
Jan Seidler
机构
[1] The University of Hull,Department of Mathematics
[2] Academy od Sciences,Mathematical Institute
来源
Probability Theory and Related Fields | 2005年 / 132卷
关键词
Stochastic extensible beam equation; Lyapunov functions; Nonexplosion; Exponential stability;
D O I
暂无
中图分类号
学科分类号
摘要
An extensible beam equation with a stochastic force of a white noise type is studied, Lyapunov functions techniques being used to prove existence of global mild solutions and asymptotic stability of the zero solution.
引用
收藏
页码:119 / 149
页数:30
相关论文
共 50 条
  • [41] Nonlinear stochastic equations with multiplicative Levy noise
    Srokowski, Tomasz
    PHYSICAL REVIEW E, 2010, 81 (05):
  • [42] Second order nonlinear stochastic differential equations
    Rao, MM
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1997, 30 (05) : 3147 - 3151
  • [43] Solving stochastic equations with unbounded nonlinear perturbations
    Fkirine, Mohamed
    Hadd, Said
    STOCHASTICS-AN INTERNATIONAL JOURNAL OF PROBABILITY AND STOCHASTIC PROCESSES, 2024, 96 (03) : 1143 - 1168
  • [44] Fundamental Properties of Nonlinear Stochastic Differential Equations
    Liu, Linna
    Deng, Feiqi
    Qu, Boyang
    Meng, Yanhong
    MATHEMATICS, 2022, 10 (15)
  • [45] Stochastic differential equations of a nonlinear quadratic filter
    Pristavko, VT
    Tolkachev, VI
    DIFFERENTIAL EQUATIONS, 1996, 32 (04) : 510 - 514
  • [46] STOCHASTIC CLOSURE OF NONLINEAR-WAVE EQUATIONS
    HOLLOWAY, G
    HENDERSHOTT, MC
    BULLETIN OF THE AMERICAN METEOROLOGICAL SOCIETY, 1976, 57 (01) : 114 - 114
  • [47] STOCHASTIC NONLINEAR DIFFUSION EQUATIONS WITH SINGULAR DIFFUSIVITY
    Barbu, Viorel
    Da Prato, Giuseppe
    Roeckner, Michael
    SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2009, 41 (03) : 1106 - 1120
  • [48] Stochastic Regularized Newton Methods for Nonlinear Equations
    Jiani Wang
    Xiao Wang
    Liwei Zhang
    Journal of Scientific Computing, 2023, 94
  • [49] Ergodicity for Nonlinear Stochastic Equations in Variational Formulation
    Viorel Barbu
    Giuseppe Da Prato
    Applied Mathematics and Optimization, 2006, 53 : 121 - 139
  • [50] A CLASS OF NONLINEAR STOCHASTIC-EVOLUTION EQUATIONS
    TUDOR, C
    DOKLADI NA BOLGARSKATA AKADEMIYA NA NAUKITE, 1983, 36 (08): : 1031 - 1034