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
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
  • [31] Solving the Volterra integral equations with weakly singular kernel by Taylor expansion methods
    Huang, Li
    Zhao, Yulin
    Tang, Liang
    ADVANCES IN MANUFACTURING TECHNOLOGY, PTS 1-4, 2012, 220-223 : 2129 - 2132
  • [32] Ulam-Hyers stabilities of a differential equation and a weakly singular Volterra integral equation
    Ege, Ozgur
    Ayadi, Souad
    Park, Choonkil
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2021, 2021 (01)
  • [33] A FUNCTIONAL-INTEGRAL EQUATION WITH LINEAR MODIFICATION OF THE ARGUMENT, VIA WEAKLY PICARD OPERATORS
    Muresan, Viorica
    FIXED POINT THEORY, 2008, 9 (01): : 189 - 197
  • [34] On a functional-integral equation with deviating arguments
    Darwish, Mohamed Abdalla
    Kashkari, Bothayna S.
    Sadarangani, Kishin
    APPLIED MATHEMATICS AND COMPUTATION, 2014, 246 : 64 - 70
  • [35] Asymptotics on the Fredholm integral equation with a highly oscillatory and weakly singular kernel
    Xiang, Shuhuang
    Zhang, Qingyang
    APPLIED MATHEMATICS AND COMPUTATION, 2023, 456
  • [36] The Jacobi Collocation Method for a Class of Nonlinear Volterra Integral Equations with Weakly Singular Kernel
    Sonia Seyed Allaei
    Teresa Diogo
    Magda Rebelo
    Journal of Scientific Computing, 2016, 69 : 673 - 695
  • [37] Convergence Analysis for the Chebyshev Collocation Methods to Volterra Integral Equations with a Weakly Singular Kernel
    Liu, Xiong
    Chen, Yanping
    ADVANCES IN APPLIED MATHEMATICS AND MECHANICS, 2017, 9 (06) : 1506 - 1524
  • [38] The Jacobi Collocation Method for a Class of Nonlinear Volterra Integral Equations with Weakly Singular Kernel
    Allaei, Sonia Seyed
    Diogo, Teresa
    Rebelo, Magda
    JOURNAL OF SCIENTIFIC COMPUTING, 2016, 69 (02) : 673 - 695
  • [39] Solution of Nonlinear Volterra Integral Equations with Weakly Singular Kernel by Using the HOBW Method
    Ali, Mohamed R.
    Mousa, Mohamed M.
    Ma, Wen-Xiu
    ADVANCES IN MATHEMATICAL PHYSICS, 2019, 2019
  • [40] On a weakly singular quadratic integral equations of Volterra type in Banach algebras
    Xiulan Yu
    Chun Zhu
    JinRong Wang
    Advances in Difference Equations, 2014