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
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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.
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页码：74 / 78
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