Nonlocal boundary-value problem for linear partial differential equations unsolved with respect to the higher time derivative

Autor:	B. I. Ptashnyk, O. D. Vlasii
Rok vydání:	2007
Předmět:	Partial differential equation General Mathematics Mathematical analysis Time derivative Free boundary problem Mixed boundary condition Boundary value problem Uniqueness Divided differences Mathematics Numerical partial differential equations
Zdroj:	Ukrainian Mathematical Journal. 59:409-422
ISSN:	1573-9376 0041-5995
DOI:	10.1007/s11253-007-0026-z
Popis:	We study the well-posedness of the problem with general nonlocal boundary conditions in the time variable and conditions of periodicity in the space coordinates for partial differential equations unsolved with respect to the higher time derivative. We establish the conditions of existence and uniqueness of the solution of the considered problem. In the proof of existence of the solution, we use the method of divided differences. We also prove metric statements on the lower bounds of small denominators appearing in constructing the solution of the problem.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::b553f68e2668dad1970b640382a2a6b7 https://doi.org/10.1007/s11253-007-0026-z Zobrazit plný text záznamu Plný text ve formátu PDF