The well-posedness of a nonlocal multipoint problem for a differential operator equation of second order

Autor:	O. V. Martynyuk, Olesia V. Feduh, Vasyl V. Gorodetskyi
Rok vydání:	2018
Předmět:	010101 applied mathematics General Mathematics 010102 general mathematics Order (group theory) Applied mathematics 0101 mathematics Differential operator 01 natural sciences Well posedness Mathematics
Zdroj:	Georgian Mathematical Journal. 27:67-79
ISSN:	1572-9176 1072-947X
Popis:	We establish the well-posedness of a nonlocal multipoint problem for a second-order evolution equation with respect to a time variable with an operator having a discrete spectrum. A nonlocal condition is considered to be satisfied in a weak sense in the space of formal Fourier series that are identified with continuous linear functionals (generalized elements) on some space connected with the operator.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::3a90d9ddc133c1b812964fe363ee97cb https://doi.org/10.1515/gmj-2018-0007 Zobrazit plný text záznamu