A Problem with Condition Containing an Integral Term for a Parabolic-Hyperbolic Equation

Autor:	B. I. Ptashnyk, A. M. Kuz
Rok vydání:	2015
Předmět:	symbols.namesake Integro-differential equation General Mathematics symbols Initial value problem Applied mathematics Uniqueness Summation equation Cartesian product Space (mathematics) Integral equation Hyperbolic partial differential equation Mathematics
Zdroj:	Ukrainian Mathematical Journal. 67:723-734
ISSN:	1573-9376 0041-5995
DOI:	10.1007/s11253-015-1110-4
Popis:	In a layer obtained as the Cartesian product of an interval [−T 1 ,T 2], T 1 ,T 2 > 0, and a space ℝ p , p ≥ 1, we study a problem with nonlocal condition in the time variable containing an integral term for a mixed parabolic-hyperbolic equation in the class of functions almost periodic in the space variables. For this problem, we establish a criterion of uniqueness and sufficient conditions for the existence of solutions. To solve the problem of small denominators encountered in the construction of the solution, we use the metric approach.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::9b33c58178da95d2003865fe1d555a07 https://doi.org/10.1007/s11253-015-1110-4 Zobrazit plný text záznamu Plný text ve formátu PDF