A construction of analog of Fredgolm theorems for one class of first order model integro-differential equation with logarithmic singularity in the kernel

Autor:	Sarvar K Zaripov
Jazyk:	English<br />Russian
Rok vydání:	2017
Předmět:	integro-differential equation boundary singular points manifold solution integral representation characteristic equation Mathematics QA1-939
Zdroj:	Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, Vol 21, Iss 2, Pp 236-248 (2017)
Druh dokumentu:	article
ISSN:	1991-8615 2310-7081
DOI:	10.14498/vsgtu1515
Popis:	The integral representations of the solution manifold for one class of the first order model integro-differential equation with logarithmic singularity in the kernel are constructed using arbitrary constants. The cases when the given integro-differential equation has unique solution are found. The analogue of Fredholm theorem is built for given integro-differential equation. The method of solving this problem can be used for the solving of higher order model and non-model integro-differential equations with singular coefficients.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/c2859cab44c446aa95364795a3ef8152 Zobrazit plný text záznamu View record in DOAJ