Some aspects of the theory of integro-differential Barbashin equations in function spaces

Autor:	A. S. Kalitvin
Rok vydání:	2012
Předmět:	Statistics and Probability Cauchy problem Measurable function Function space Applied Mathematics General Mathematics Mathematics::Analysis of PDEs Banach space Space (mathematics) Bounded function Applied mathematics Initial value problem Differential (mathematics) Mathematics
Zdroj:	Journal of Mathematical Sciences. 188:241-249
ISSN:	1573-8795 1072-3374
DOI:	10.1007/s10958-012-1122-7
Popis:	We study the solvability conditions for the Cauchy problem for the Barbashin integro-differential equation in the space of bounded continuous functions and in the space of continuous vector-valued functions with the values in an ideal Banach space. We also consider conditions guaranteeing the existence of classical and generalized solutions to the Cauchy problem for systems of linear Barbashin integro-differential equations. Bibliography: 5 titles.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::eac9e870c1002f9592c1c272266e1815 https://doi.org/10.1007/s10958-012-1122-7 Zobrazit plný text záznamu Full text from SpringerLink