Work

On Riemann's Method for the Discrete Analogue of a Second-order Hyperbolic Equation

Year: 2025

Type: article

Abstract: In this paper is considered the Cauchy problem for a discrete analogue of a secondorder hyperbolic equation with a periodic coefficient.Using the eigenfunctions of the discrete Hill equation, the Riemann function of a discrete analogue of a second-order hyperbolic equation is constructed.A representation of the solution to the Cauchy problem through Riemann functions is found.

DOI: 10.30546/209501.101.2025.2.1.012

Language: English

Topic: Differential Equations and Boundary Problems

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

OpenAlex ID: W4409556334

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Cites: 1

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Related to: 10