2000•Georgian Mathematical JournalRequires access

On One Class of Spatial Nonlocal Problems for Some Hyperbolic Equations

Gia Avalishvili, David Gordeziani

Abstract

Abstract This paper deals with nonclassical initial boundary value problems for string oscillation and telegraph equations. Algorithms for a direct construction of solutions are proposed. The existence and uniqueness of a solution of a nonlocal boundary value problem is proved in the case of a general one-dimensional hyperbolic equation.

About this research paper

What this paper is about

Why it matters

OpenAlex reports 5 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

Key concepts: Mathematics, Uniqueness, Class (philosophy), Hyperbolic partial differential equation, Boundary value problem, Mathematical analysis, Oscillation (cell signaling), Boundary (topology)