ON THE EXİSTENCE AND UNİQUENESS OF SOLUTİONS OF THEGOURSAT-DARBOUX SYSTEMS WİTH TWO-POİNT CONDİTİONS

The article investigates a system of second-order hyperbolic differential equations given with two-point boundary conditions.A Green's function for the boundary problems has been constructed, and the boundary problem has been transformed into an equivalent integral equation.Using the Banach contraction mapping principle, sufficient conditions for the existence and uniqueness of the solution have been found.

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Publication Details

Journal
Proceedings of the Institute of Applied Mathematics
Published
2025-01-01
DOI
https://doi.org/10.30546/2225-0530.14.1.2025.0148
Primary Topic
Geotechnical and Geomechanical Engineering
Type
article
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article

ON THE EXİSTENCE AND UNİQUENESS OF SOLUTİONS OF THEGOURSAT-DARBOUX SYSTEMS WİTH TWO-POİNT CONDİTİONS

Proceedings of the Institute of Applied Mathematics
Geotechnical and Geomechanical Engineering
article

ON THE EXİSTENCE AND UNİQUENESS OF SOLUTİONS OF THEGOURSAT-DARBOUX SYSTEMS WİTH TWO-POİNT CONDİTİONS

article en

Abstract

The article investigates a system of second-order hyperbolic differential equations given with two-point boundary conditions.A Green's function for the boundary problems has been constructed, and the boundary problem has been transformed into an equivalent integral equation.Using the Banach contraction mapping principle, sufficient conditions for the existence and uniqueness of the solution have been found.

Proceedings of the Institute of Applied Mathematics
Azerbaijan Technical University (AZ)
Openalex Percentile: Top 81%
Geotechnical and Geomechanical Engineering
DOIOpen Access PDFOpenAlex
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ON THE EXİSTENCE AND UNİQUENESS OF SOLUTİONS OF THEGOURSAT-DARBOUX SYSTEMS WİTH TWO-POİNT CONDİTİONS · Proceedings of the Institute of Applied Mathematics (2025) | TGRS Research Map | TGRS