Existence results for singular integral equations of Fredholm type

被引：0
作者：
Agarwal, RP
O'Regan, D
机构：
[1] Natl Univ Singapore, Dept Math, Singapore 119260, Singapore
[2] Natl Univ Ireland Univ Coll Galway, Dept Math, Galway, Ireland
来源：
APPLIED MATHEMATICS LETTERS | 2000年 / 13卷 / 02期
关键词：
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
New existence results are presented for the singular integral equation y(t) = theta(t) + integral(0)(1) k(t, s)[g(y(s)) + h(y(s))] ds, t is an element of [0, 1]. Our nonlinear term g + h may be singular at y = 0. (C) 2000 Elsevier Science Ltd. All rights reserved.
引用
收藏
页码：27 / 34
页数：8
相关论文
共 50 条
[21]   EXISTENCE OF SOLUTIONS FOR MIXED VOLTERRA-FREDHOLM INTEGRAL EQUATIONS [J].
Aghajani, Asadollah ;
Jalilian, Yaghoub ;
Sadarangani, Kishin .
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2012,
[22]   Superconvergence results of Legendre spectral projection methods for weakly singular Fredholm-Hammerstein integral equations [J].
Mandal, Moumita ;
Nelakanti, Gnaneshwar .
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2019, 349 :114-131
[23]   THE SOLUTION OF WEAKLY SINGULAR FREDHOLM INTEGRAL-EQUATIONS WITH ADAPTED QUADRATURES [J].
MICKE, A .
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 1990, 70 (01) :49-62
[24]   DISCRETIZATION OF A CLASS OF FREDHOLM INTEGRAL EQUATIONS WITH A SINGULAR VALUE OF FIRST ORDER [J].
JEGGLE, H .
NUMERISCHE MATHEMATIK, 1968, 11 (05) :427-&
[25]   The approximate solution of a class of Fredholm integral equations with a weakly singular kernel [J].
Babolian, E. ;
Hajikandi, A. Arzhang .
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2011, 235 (05) :1148-1159
[26]   Reproducing kernel method for a class of weakly singular Fredholm integral equations [J].
Alvandi, Azizallah ;
Paripour, Mahmoud .
JOURNAL OF TAIBAH UNIVERSITY FOR SCIENCE, 2018, 12 (04) :409-414
[27]   ESTIMATES FOR THE DERIVATIVES OF SOLUTIONS TO WEAKLY SINGULAR FREDHOLM INTEGRAL-EQUATIONS [J].
PITKARANTA, J .
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1980, 11 (06) :952-968
[28]   On the regularization method for Fredholm integral equations with odd weakly singular kernel [J].
Benrabia, Noureddine ;
Guebbai, Hamza .
COMPUTATIONAL & APPLIED MATHEMATICS, 2018, 37 (04) :5162-5174
[29]   An optimal approximate solution of the I kind Fredholm singular integral equations [J].
Shadimetov, Kh. M. ;
Akhmedov, D. M. .
FILOMAT, 2024, 38 (30) :10765-10796
[30]   Constant-sign solutions for singular systems of Fredholm integral equations [J].
Agarwal, Ravi P. ;
O'Regan, Donal ;
Wong, Patricia J. Y. .
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2010, 33 (15) :1783-1793
12345