Solvability of a Nonlocal Boundary Value Problem for One Class of Loaded Partial Differential Equations

G. A. Abdikalikova

2024

Closed access Metadata (CSL-JSON)
DOI 10.1134/s1995080224606040
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

Abstract A linear nonlocal boundary value problem for a loaded second-order partial differential equation are considered. Using the method of introducing new unknown functions, this problem is reduced to a nonlocal problem for a system of loaded first-order hyperbolic equations with the same main part according to Courant. An algorithm for solving a nonlocal boundary value problem is proposed. Conditions for the existence and uniqueness of a solution in the wide extent of a nonlocal boundary value problem for loaded second-order partial differential equations are established.