ON PERIODIC BOUNDARY VALUE PROBLEMS WITH AN OBLIQUE DERIVATIVE FOR A SECOND ORDER ELLIPTIC EQUATION

M. Koshanova, Moldir A. Muratbekova, Batirkhan Turmetov

2021

Full text Open access: Gold Metadata (CSL-JSON)
DOI 10.12732/ijam.v34i2.4
Data confidence 70 medium
How this score is calculated

It is built from checkable properties of the record itself: whether the article has a DOI, how many independent sources confirmed its data, whether the required fields are filled in, and how recent the latest confirmation is. Disagreement between sources and a missing identifier lower it. A value of 80 or above means the record was published without further checking; 60 to 79 means it is published at reduced confidence, with a manual check advisable. A record verified by an editor by hand is never pushed below 90 by a recalculation. This scores our data about the article, not the article itself.

Abstract

In this paper, we study solvability of new classes of nonlocal boundary value problems for a second-order elliptic type equation.The considered problems are multidimensional analogues (in the case of circular domains) of classical periodic boundary value problems in rectangular domains.To study the main problem, first, an auxiliary boundary value problem with inclined derivative is considered for the second order elliptic equation.The main problems are solved by reducing them to a sequential solution of the Dirichlet problem and the problem with inclined derivative.Theorems on the existence and uniqueness of a solution of considered problems are proved.