Integro-Differential equations with variational derivatives generated by nonlinear random partial integral equations

被引:0
|
作者
Romanovski, Iouri V. [1 ]
Yanovich, Leonid. A. [2 ]
机构
[1] Faculty of Applied Mathematics and Computer Science, Belarus State University, Nezalezhnastsi 4, Minsk, Belarus
[2] Institute of Mathematics, National Academy of Sciences of Belarus, Surhanava 11, Minsk, Belarus
关键词
Nonlinear equations - Integrodifferential equations;
D O I
暂无
中图分类号
O172 [微积分];
学科分类号
摘要
Integro-partial differential equations with variational derivatives, that are generated by random partial integral equations of second kind with power-law non-linearity, are considered. Solution existence and uniqueness is investigated and illustrative examples of such equations are given. © 2007 by IJAMAS, CESER.
引用
收藏
页码:101 / 111
相关论文
共 50 条
  • [31] A class of partial integro-differential equations with correlation-convolution integral I
    von Wolfersdorf, L
    ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN, 2004, 23 (01): : 3 - 15
  • [32] Integro-Differential Equations with Nonlinear Directional Dependence
    Kassmann, Moritz
    Rang, Marcus
    Schwab, Russell W.
    INDIANA UNIVERSITY MATHEMATICS JOURNAL, 2014, 63 (05) : 1467 - 1498
  • [33] Viscosity solutions of nonlinear integro-differential equations
    Alvarez, O
    Tourin, A
    ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 1996, 13 (03): : 293 - 317
  • [34] A class of partial integro-differential equations with correlation-convolution integral II
    von Wolfersdorf, L
    ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN, 2004, 23 (02): : 313 - 333
  • [35] Systems of nonlinear Volterra integro-differential equations
    Rashidinia, Jalil
    Tahmasebi, Ali
    NUMERICAL ALGORITHMS, 2012, 59 (02) : 197 - 212
  • [36] Viscosity solutions of nonlinear integro-differential equations
    Alvarez, O.
    Tourin, A.
    Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire, 1996, 13 (03): : 293 - 317
  • [37] Systems of nonlinear Volterra integro-differential equations
    Jalil Rashidinia
    Ali Tahmasebi
    Numerical Algorithms, 2012, 59 : 197 - 212
  • [38] Semiconvexity estimates for nonlinear integro-differential equations
    Ros-Oton, Xavier
    Torres-Latorre, Clara
    Weidner, Marvin
    COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 2025, 78 (03) : 592 - 647
  • [39] A method for solving nonlinear integro-differential equations
    Ben Zitoun, Feyed
    Cherruault, Yves
    KYBERNETES, 2012, 41 (1-2) : 35 - 50
  • [40] Variational iteration method for solving integro-differential equations
    Wang, Shu-Qiang
    He, Ji-Huan
    PHYSICS LETTERS A, 2007, 367 (03) : 188 - 191