ON THE FUNCTIONAL-INTEGRAL EQUATION OF VOLTERRA TYPE WITH WEAKLY SINGULAR KERNEL

被引：1
|
作者：
Dutkiewicz, Aldona [1 ]
机构：
[1] Adam Mickiewicz Univ, Fac Math & Comp Sci, Umultowska 87, PL-61614 Poznan, Poland
来源：
PUBLICATIONS DE L INSTITUT MATHEMATIQUE-BEOGRAD | 2008年 / 83卷 / 97期
关键词：
Functional-integral equation; L-p-solutions; measure of noncompactness;
D O I：
10.2298/PIM0897057D
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We give sufficient conditions for the existence of L-p-solution of a Volterra functional-integral equation in a Banach space. Our assumptions and proofs are expressed in terms of measures of noncompactness.
引用
收藏
页码：57 / 63
页数：7
相关论文
共 50 条
  • [21] Fredholm-Volterra integral equation with singular kernel
    M. A. Darwish
    Korean Journal of Computational and Applied Mathematics, 1999, 6 (1): : 163 - 174
  • [22] Theoretical and numerical analysis of a first-kind linear Volterra functional integral equation with weakly singular kernel and vanishing delay
    Naghdi, Niloofar
    Shahmorad, Sedaghat
    NUMERICAL ALGORITHMS, 2024, 97 (01) : 453 - 473
  • [23] Extrapolation Methods for a Nonlinear Weakly Singular Volterra Integral Equation
    Diogo, Teresa
    Lima, Pedro
    Rebelo, Magda
    NUMERICAL ANALYSIS AND APPLIED MATHEMATICS, VOLS I-III, 2010, 1281 : 1175 - +
  • [24] On a nonlinear Volterra integro-differential equation with a weakly singular kernel
    Jumarhon, B
    Pidcock, M
    ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 1996, 76 (06): : 357 - 360
  • [25] Ulam–Hyers stabilities of a differential equation and a weakly singular Volterra integral equation
    Ozgur Ege
    Souad Ayadi
    Choonkil Park
    Journal of Inequalities and Applications, 2021
  • [26] The exact solution of a linear integral equation with weakly singular kernel
    Chen, Zhong
    Lin, YingZhen
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 344 (02) : 726 - 734
  • [27] A new degenerate kernel method for a weakly singular integral equation
    Guebbai, Hamza
    Grammont, Laurence
    APPLIED MATHEMATICS AND COMPUTATION, 2014, 230 : 414 - 427
  • [28] Nonlinear Fredholm Functional-Integral Equation of First Kind with Degenerate Kernel and Integral Maxima
    Yuldashev, T. K.
    Eshkuvatov, Z. K.
    Long, N. M. A. Nik
    MALAYSIAN JOURNAL OF FUNDAMENTAL AND APPLIED SCIENCES, 2023, 19 (01): : 82 - 92
  • [29] Weakly singular Volterra integral equation with combined logarithmic-power-law kernel: Analytical and computational consideration
    Singh, Aman
    Postnikov, Eugene B.
    Yadav, Poonam
    Singh, Vineet Kumar
    APPLIED NUMERICAL MATHEMATICS, 2024, 197 : 164 - 185
  • [30] JACOBI SPECTRAL GALERKIN METHODS FOR VOLTERRA INTEGRAL EQUATIONS WITH WEAKLY SINGULAR KERNEL
    Yang, Yin
    BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2016, 53 (01) : 247 - 262
12345