SOLUTION OF THE FIRST-KIND ONE-TYPE INTEGRAL EQUATION WITH THE LOGARITHMIC KERNEL AND MIXED COEEFICIENTS
Abstract
An explicit solution of first-kind one-type integral equation with logarithms in the kernel reduces to a successive solution of the characteristic singular equation and the Volterra equation. The solution is given in closed form, depending on the index of the singular equation and the solvability of the Volterra equation.
About the Authors
F. V. CHYMAKOV
Belarusian State University
Belarus
Belarus
S. I. VASILETS
Belarusian State Pedagogical University named after Maxim Tank
Belarus
Belarus
References
1. Гахов, Ф. Д. Краевые задачи / Ф. Д. Гахов. – М.: Наука, 1977.
2. Самко, С. Г. Интегралы и производные дробного порядка и некоторые их приложения / С. Г. Самко, А. А. Килбас, О. И. Маричев. – Минск: Наука и техника, 1987.
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