HYPERBOLIC EQUATION WITH DELTA-INTERACTION

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Khanmamedov A. K., ABBASOVA X.

Proceedings of the Institute of Mathematics and Mechanics, vol.52, no.1, pp.176-182, 2026 (ESCI, Scopus)

• Publication Type: Article / Article
• Volume: 52 Issue: 1
• Publication Date: 2026
• Doi Number: 10.30546/2409-4994.2026.52.1.176182
• Journal Name: Proceedings of the Institute of Mathematics and Mechanics
• Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus
• Page Numbers: pp.176-182
• Keywords: delta function, discontinuity conditions, Goursat-type problems, hyperbolic equation, Schrödinger equation, transformation operator
• Open Archive Collection: Digital Heritage Collection
• Azerbaijan State University of Economics (UNEC) Affiliated: Yes

Abstract

A Goursat-type problem for an inhomogeneous string vibration equation with discontinuous conditions is considered. Its unique solvability is proven. An explicit solution is found.