On the solutions of a quadratic integral and an integral-differential equation

被引：0
作者：
von Wolfersdorf, L [1 ]
机构：
[1] TU Bergakad, Fak Math & Informat, D-09596 Freiberg, Germany
来源：
ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN | 2002年 / 21卷 / 02期
关键词：
nonlinear integral equations; nonlinear integro-ordinary differential equations; boundary value problems for holomorphic functions;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
An integral equation and a related integral-differential equation of first order over R+ with a quadratic integral term representing the so-called autocorrelation of the unknown function is dealt with. For both equations the general solution is constructed and estimated in the L-2-norm. Further, the asymptotic behaviour and the stability of the solution are investigated.
引用
收藏
页码：381 / 398
页数：18
相关论文
共 50 条
  • [21] Fixed point theorems for systems of equations in ordered Banach spaces with applications to differential and integral equations
    Canada, A
    Zertiti, A
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1996, 27 (04) : 397 - 411
  • [22] Integro-Differential Equations with Variational Derivatives Generated by Nonlinear Random Partial Integral Equations
    Romanovski, Iouri V.
    Yanovich, Leonid. A.
    INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS & STATISTICS, 2007, 12 (D07): : 101 - 111
  • [23] SOLVABILITY OF A GENERAL NONLINEAR INTEGRAL EQUATION IN L1 SPACES BY MEANS OF A MEASURE OF WEAK NONCOMPACTNESS
    Wang, Fuli
    JOURNAL OF INTEGRAL EQUATIONS AND APPLICATIONS, 2015, 27 (02) : 273 - 287
  • [24] Block-by-block method for solving non-linear Volterra integral equation of the first kind
    Mourad Ghiat
    Boutheina Tair
    Hamza Ghuebbai
    Soumia Kamouche
    Computational and Applied Mathematics, 2023, 42
  • [25] Block-by-block method for solving non-linear Volterra integral equation of the first kind
    Ghiat, Mourad
    Tair, Boutheina
    Ghuebbai, Hamza
    Kamouche, Soumia
    COMPUTATIONAL & APPLIED MATHEMATICS, 2023, 42 (01)
  • [26] Numerical Solutions of Nonlinear Volterra-Fredholm-Hammerstein Integral Equations Using Sinc Nystrom Method
    Ma, Yanying
    Huang, Jin
    Wang, Changqing
    INFORMATION TECHNOLOGY AND INTELLIGENT TRANSPORTATION SYSTEMS, VOL 2, 2017, 455 : 187 - 194
  • [27] Weighted L-p-solutions on unbounded intervals of nonlinear integral equations of the Hammerstein and Urysohn types
    Karoui, Abderrazek
    Jawahdou, Adel
    Ben Aouicha, Hichem
    ADVANCES IN PURE AND APPLIED MATHEMATICS, 2011, 2 (01) : 1 - 22
  • [28] Existence of solutions for some nonlinear Volterra integral equations via Petryshyn's fixed point theorem
    Kazemi, Manouchehr
    Ezzati, Reza
    INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS, 2018, 9 (01): : 1 - 12
  • [29] RECOVERING AN OBSTACLE USING INTEGRAL EQUATIONS
    Rundell, William
    INVERSE PROBLEMS AND IMAGING, 2009, 3 (02) : 319 - 332
  • [30] He's homotopy perturbation method: An effective tool for solving nonlinear integral and integro-differential equations
    Saberi-Nadjafi, Jafar
    Ghorbani, Asghar
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2009, 58 (11-12) : 2379 - 2390
12345