Ding Xie-ping. Existence and Comparison Results for Solutions’ of Random Integral and Differential Equations[J]. Applied Mathematics and Mechanics, 1986, 7(7): 597-604.
Citation: Ding Xie-ping. Existence and Comparison Results for Solutions’ of Random Integral and Differential Equations[J]. Applied Mathematics and Mechanics, 1986, 7(7): 597-604.

Existence and Comparison Results for Solutions’ of Random Integral and Differential Equations

  • Received Date: 1985-05-20
  • Publish Date: 1986-07-15
  • This paper is the continuation of [1]. In this paper, we give another criteria of the existence of solutions for nonlinear random Volterra integral. A comparison theorem and the existence of random extremal solutions are also obtained by using the notion of ordering with respect to a cone. Our theorems generalize the corresponding results of Vaughan[2,3] and Lakshmikantham[4,5].
  • loading
  • [1]
    丁协平,随机积分和微分方程解的存在性准则,应用数学和力学.6,3(1985).
    [2]
    Vaughan,R.L.,Existence and comparison results for nonlinear Volterra integral equations in Banach spaces.Appl.Anal.7(1978),337-348.
    [3]
    Vaughan,R.L.,Criteria for the existence and comparison of solutions to nonlinear Volterra integral equations in Banach spaces,Nonlinear Equations in Abstract Spaces,Acad.Press,New York(1978),463-468.
    [4]
    Lakshmikantham V.,Existence and comparison results for Volterra integral equations in Banach spaces,Volterra Integral Equations,Springer-Verlag,737(1979),120-126.
    [5]
    Lakshmikantham V.and S.Leela,Nonlinear Differential Equations in Abstract Spaces,Pergamon Press,New York(1981).
    [6]
    De Blasi F.S.and J.Myjak,Random differential equations on closed subsets of a Banach space.J.Math.Anal Appl.90(1982),273-285.
  • 加载中

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索

    Article Metrics

    Article views (1623) PDF downloads(631) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return