Nonlocal Cauchy problem for some stochastic integro-differential equations in Hilbert spaces

被引：0
|
作者：
Jing Cui
Litan Yan
Xiaotai Wu
机构：
[1] Donghua University,Department of Mathematics
[2] Anhui Normal University,Department of Mathematics
来源：
Journal of the Korean Statistical Society | 2012年 / 41卷
关键词：
primary 60H15; 60H20; secondary 34K45; Stochastic integro-differential equations; Impulsive equations; Nonlocal condition;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we study the existence results of mild solutions for a class of stochastic integro-differential equations with nonlocal conditions and stochastic impulsive integrodifferential equations with nonlocal conditions in Hilbert spaces. Sufficient conditions for the existence of mild solutions are derived by means of Leray-Schauder nonlinear alternative. An example is provided to illustrate the theory.
引用
收藏
页码：279 / 290
页数：11
相关论文
共 50 条
  • [41] Singular Cauchy Initial Value Problem for Certain Classes of Integro-Differential Equations
    Smarda, Zdenek
    [J]. ADVANCES IN DIFFERENCE EQUATIONS, 2010,
  • [42] On the Cauchy problem for stochastic integro-differential equations with radially O-regularly varying Lévy measure
    R. Mikulevicius
    C. Phonsom
    [J]. Stochastics and Partial Differential Equations: Analysis and Computations, 2021, 9 : 380 - 436
  • [43] A Problem with Parameter for the Integro-Differential Equations
    Bakirova, Elmira A.
    Assanova, Anar T.
    Kadirbayeva, Zhazira M.
    [J]. MATHEMATICAL MODELLING AND ANALYSIS, 2021, 26 (01) : 34 - 54
  • [44] The Weighted Cauchy Type Problem and Cauchy Problem for the Linear Barbashin Integro-Differential Equations with Fractional Partial Derivative
    Kalitvin A.S.
    Kalitvin V.A.
    [J]. Journal of Mathematical Sciences, 2016, 219 (1) : 125 - 132
  • [45] Solvability of singular integro-differential equations via Riemann-Hilbert problem
    Li, Pingrun
    Ren, Guangbin
    [J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2018, 265 (11) : 5455 - 5471
  • [46] A NONLOCAL HYBRID BOUNDARY VALUE PROBLEM OF CAPUTO FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS
    Bashir AHMAD
    Sotiris K.NTOUYAS
    Jessada TARIBOON
    [J]. Acta Mathematica Scientia, 2016, (06) : 1631 - 1640
  • [47] Nonlocal Inverse Problem for a Pseudohyperbolic-Pseudoelliptic Type Integro-Differential Equations
    Yuldashev, Tursun K.
    [J]. AXIOMS, 2020, 9 (02)
  • [48] A NONLOCAL HYBRID BOUNDARY VALUE PROBLEM OF CAPUTO FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS
    Ahmad, Bashir
    Ntouyasi, Sotiris K.
    Tariboon, Jessada
    [J]. ACTA MATHEMATICA SCIENTIA, 2016, 36 (06) : 1631 - 1640
  • [49] A NONLOCAL HYBRID BOUNDARY VALUE PROBLEM OF CAPUTO FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS
    Bashir AHMAD
    Sotiris KNTOUYAS
    Jessada TARIBOON
    [J]. Acta Mathematica Scientia(English Series), 2016, 36 (06) : 1631 - 1640
  • [50] INTEGRO-DIFFERENTIAL EQUATIONS FOR HYPERBOLIC CAUCHY-PROBLEMS IN SPACES OF ULTRA-DISTRIBUTIONS
    SCHENK, D
    [J]. MATHEMATISCHE NACHRICHTEN, 1979, 92 : 247 - 260
12345