ON STOCHASTIC DELAY EVOLUTION EQUATIONS WITH NON-LIPSCHITZ NONLINEARITIES IN HILBERT SPACES

被引：0
|
作者：
Govindan, T. E. [1 ]
机构：
[1] Inst Politecn Nacl, Dept Matemat, Escuela Super Fis & Matemat, Mexico City 07738, DF, Mexico
来源：
DIFFERENTIAL AND INTEGRAL EQUATIONS | 2009年 / 22卷 / 1-2期
关键词：
MILD SOLUTIONS; DIFFERENTIAL-EQUATIONS; EXPONENTIAL STABILITY; EXISTENCE;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study existence and exponential stability problems of mild solutions associated with stochastic delay evolution equations in Hilbert spaces. These problems are resolved using the properties of a stochastic convolution integral and a comparison principle by exploiting Holder-type conditions on the drift and diffusion terms. The results obtained here generalize the corresponding main results from [1, 3, 4, 9, 13, 16].
引用
下载
收藏
页码：157 / 176
页数：20
相关论文
共 50 条
  • [31] A class of degenerate stochastic differential equations with non-Lipschitz coefficients
    K SURESH KUMAR
    Proceedings - Mathematical Sciences, 2013, 123 : 443 - 454
  • [32] The Averaging Principle for Stochastic Pantograph Equations with Non-Lipschitz Conditions
    Gao, Dongdong
    Li, Jianli
    Luo, Zhiguo
    Luo, Danfeng
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2021, 2021
  • [33] Anticipated backward stochastic differential equations with non-Lipschitz coefficients
    Wu, Hao
    Wang, Wenyuan
    Ren, Jie
    STATISTICS & PROBABILITY LETTERS, 2012, 82 (03) : 672 - 682
  • [34] Anticipated backward stochastic differential equations with non-Lipschitz coefficients
    Huihui Zhou
    Yun Han
    Zhiguo Feng
    Rui Yuan
    Journal of Mathematical Chemistry, 2021, 59 : 516 - 528
  • [35] Homeomorphism flows for non-Lipschitz stochastic differential equations with jumps
    Qiao, Huijie
    Zhang, Xicheng
    STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 2008, 118 (12) : 2254 - 2268
  • [36] Exponential ergodicity of non-Lipschitz multivalued stochastic differential equations
    Ren, Jiagang
    Wu, Jing
    Zhang, Xicheng
    BULLETIN DES SCIENCES MATHEMATIQUES, 2010, 134 (04): : 391 - 404
  • [37] A class of degenerate stochastic differential equations with non-Lipschitz coefficients
    Kumar, K. Suresh
    PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, 2013, 123 (03): : 443 - 454
  • [38] Attractors of stochastic lattice dynamical systems with a multiplicative noise and non-Lipschitz nonlinearities
    Caraballo, Tomas
    Morillas, F.
    Valero, J.
    JOURNAL OF DIFFERENTIAL EQUATIONS, 2012, 253 (02) : 667 - 693
  • [39] Non-Lipschitz backward stochastic volterra type equations with jumps
    Wang, Zhidong
    Zhang, Xicheng
    STOCHASTICS AND DYNAMICS, 2007, 7 (04) : 479 - 496
  • [40] Trotter-Kato approximations of stochastic evolution equations with delay in Hilbert spaces
    Govindan, T. E.
    JOURNAL OF THE RAMANUJAN MATHEMATICAL SOCIETY, 2022, 37 (01) : 87 - 97
12345