Open AccessCONJUGATION PROBLEM WITH MULTIPOINT CONDITIONS FOR MIXED HYPERBOLIC TYPE EQUATIONS
Author(s) -
Оксана Медвідь,
I. Ya. Savka,
I. R. Tymkiv
Publication year - 2019
Publication title -
prikarpatsʹkij vìsnik ntš. čislo
Language(s) - English
Resource type - Journals
ISSN - 2304-7399
DOI - 10.31471/2304-7399-2019-1(53)-21-28
Subject(s) - mathematics , sobolev space , type (biology) , mathematical analysis , initial value problem , hyperbolic partial differential equation , lebesgue measure , measure (data warehouse) , pure mathematics , lebesgue integration , partial differential equation , computer science , ecology , database , biology
The conditions of correct solvability in the Sobolev spaces of the conjugation problem with local multipoint conditions and periodic conditions for higher order mixed hyperbolic type equations is obtained. It has been proved that these conditions fulfill for almost all (with respect to the Lebesgue measure) vectors made up of the nodes of multipoint conditions.