Affiliation:
1. Nikol’skii Mathematical Institute, RUDN University, Miklukho–Maklaya ul. 6, Moscow 117198, Russia
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.
Funder
Russian Science Foundation
Reference22 articles.
1. On hyperbolic equations with arbitrarily directed translations of potentials;Muravnik;Math. Notes,2024
2. Skubachevskiĭ, A.L. (1997). Elliptic Functional Differential Equations and Applications, Springer Science & Business Media.
3. Nonclassical boundary-value problems. I;J. Math. Sci.,2008
4. Nonclassical boundary-value problems. II;J. Math. Sci.,2010
5. Boundary-value problems for elliptic functional-differential equations and their applications;Russ. Math. Surv.,2016