Work

Investigation of the Goursat-Darboux System with Integral Boundary Conditions

Year: 2025

Type: article

Abstract: In this paper, we study a boundary value problem for hyperbolic nonlinear differential equations with integral boundary conditions.We first construct the Green function for reducing this boundary value problem to the corresponding integral equation.Furthermore, using the Banach principle of contraction mappings, we prove that the solution of the obtained integral boundary value problem exists and is unique.

Source: Azerbaijan Journal of Mathematics

DOI: 10.59849/2218-6816.2025.2.113

Authors: M.J. Mardanov, Ya.A. Sharifov

Institutions: Baku State University, Institute of Mathematics and Mechanics

Language: English

Topic: Differential Equations and Boundary Problems

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: bronze

OpenAlex ID: W4413028811

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