APPROXIMATE SOLUTION OF SOME VOLTERRA INTEGRAL EQUATIONS OF THE FIRST KIND.

被引：0

作者：

Magnitskii, N.A.

机构：

来源：

Moscow University Computational Mathematics and Cybernetics (English Translation of Vestnik Moskovskogo Universiteta. Seriya XV:Vychislitel'naya Matematika i Kibernetika) | 1978年 / 01期

关键词：

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The solution of a Volterra integral equation of the first kind whose kernel has isolated zeros of finite order on the diagonal is uniformly approximated by the solution of a two-parameter Volterra integral equation of the second kind of special form. It is shown that the order of uniform convergence (with respect to the parameters of the approximate solution) to the exact solution depends on the order of the zeros of the kernel on the diagonal.

引用

页码：74 / 78

共 50 条

[1] INVESTIGATION OF AN APPROXIMATE SOLUTION OF SOME CLASSES OF SURFACE INTEGRAL EQUATIONS OF THE FIRST KIND.
Khalilov, E. H.
VESTNIK TOMSKOGO GOSUDARSTVENNOGO UNIVERSITETA-MATEMATIKA I MEKHANIKA-TOMSK STATE UNIVERSITY JOURNAL OF MATHEMATICS AND MECHANICS, 2021, (74): : 43 - 54
[2] APPROXIMATE SOLUTIONS FOR VOLTERRA INTEGRAL EQUATIONS OF FIRST KIND
SCHMAEDEKE, WW
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1968, 23 (03) : 604 - +
[3] APPROXIMATE SOLUTION OF FIRST-KIND INTEGRAL-EQUATIONS OF VOLTERRA TYPE
BRUNNER, H
COMPUTING, 1974, 13 (01) : 67 - 79
[4] Numerical Solution of Some Nonlinear Volterra Integral Equations of the First Kind
Saeedi, Leila
Tari, Abolfazl
Masuleh, Sayyed Hodjatollah Momeni
APPLICATIONS AND APPLIED MATHEMATICS-AN INTERNATIONAL JOURNAL, 2013, 8 (01): : 214 - 226
[5] A comment on integral equations of the first kind.
Mollerup, J
COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES, 1910, 150 : 313 - 315
[6] A recursive algorithm for the approximate solution of Volterra integral equations of the first kind of convolution type
Fagnani, F
Pandolfi, L
INVERSE PROBLEMS, 2003, 19 (01) : 23 - 47
[7] On the solution of a class of Volterra integral equations of the first kind
Fagnani, F.
Pandolfi, L.
Journal of Inverse and Ill-Posed Problems, 2003, 11 (05): : 485 - 503
[8] SOLUTION OF VOLTERRA INTEGRAL-EQUATIONS OF FIRST KIND
DE HOOG, F
WEISS, R
NUMERISCHE MATHEMATIK, 1973, 21 (01) : 22 - 32
[9] Solution to the Volterra Integral Equations of the First Kind with Discontinuous Kernels
Sidorov, D. N.
BULLETIN OF THE SOUTH URAL STATE UNIVERSITY SERIES-MATHEMATICAL MODELLING PROGRAMMING & COMPUTER SOFTWARE, 2012, (12): : 44 - 52
[10] Approximate Solution of the System of Linear Volterra–Stieltjes Integral Equations of the Second Kind
Asanov A.
Matanova K.
Journal of Mathematical Sciences, 2022, 262 (2) : 127 - 137

← 1 2 3 4 5 →