ON THE SOLUTION OF SOME HIGHER-ORDER INTEGRO-DIFFERENTIAL EQUATIONS OF SPECIAL FORM

Autor:	I. N. Parasidis, E. Providas
Rok vydání:	2020
Zdroj:	Vestnik of Samara University. Natural Science Series. 26:14-22
ISSN:	2712-8954 2541-7525
DOI:	10.18287/2541-7525-2020-26-1-14-22
Popis:	The article is devoted to the solution of boundary value problems for higher-order linear integro-differential equations of Fredholm type with differential and integral operators encompassing powers of an ideal bijective linear differential operator whose inverse is known explicitly. The conditions for existence and uniqueness of solutions are derived and the solutions are delivered in closed form. The approach is based on the view that an integro-differential operator is a perturbed differential operator. The results obtained are of both theoretical and practical importance. The method is elucidated by solving two illustrative problems.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::bbf13bce57c8fa4b209bbdf2c035080d https://doi.org/10.18287/2541-7525-2020-26-1-14-22 Zobrazit plný text záznamu