On One Solution of Volterra Integral Equations of Second Kind

被引：0

作者：

Myrhorod, V. ^{[1
]}

Hvozdeva, I. ^{[2
]}

机构：

[1] Odessa Natl Polytech Univ, 1 Shevchenko Ave, UA-65044 Odessa, Ukraine

[2] Natl Univ, Odessa Maritime Acad, 8 Didrikhson Str, UA-65029 Odessa, Ukraine

来源：

APPLICATION OF MATHEMATICS IN TECHNICAL AND NATURAL SCIENCES (AMITANS'16) | 2016年 / 1773卷

关键词：

D O I：

10.1063/1.4964969

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A solution of Volterra integral equations of the second kind with separable and difference kernels based on solutions of corresponding equations linking the kernel and resolvent is suggested. On the basis of a discrete functions class, the equations linking the kernel and resolvent are obtained and the methods of their analytical solutions are proposed. A mathematical model of the gas-turbine engine state modification processes in the form of Volterra integral equation of the second kind with separable kernel is offered.

引用

页数：8

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