Multidimensional Hyperbolic Equations with Nonlocal Potentials: Families of Global Solutions

Andrey B. Muravnik ()
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Andrey B. Muravnik: Nikol’skii Mathematical Institute, RUDN University, Miklukho–Maklaya ul. 6, Moscow 117198, Russia

Mathematics, 2024, vol. 12, issue 13, 1-8

Abstract: In spaces of arbitrary dimensions, hyperbolic differential–difference equations with potentials undergoing translations along arbitrary spatial directions are investigated. The fundamental novelty of this study is that, unlike previous investigations, no restrictions are imposed on the symbol of the differential–difference operator contained in the equation. For the investigated equation, we succeed to explicitly construct a multiparametric family of classical global solutions.

Keywords: differential–difference operators; multidimensional hyperbolic equations; nonlocal potentials; classical solutions (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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