Classical solutions of hyperbolic equations in a half-space with a translation operator in lower-order derivatives
Abstract
In a half-space, for hyperbolic equations with translation operators in lower-order derivatives acting in all coordinate directions, a multiparameter family of solutions is constructed in explicit form using integral transforms. A theorem is proved stating that the obtained solutions are classical provided that the real part of the symbol of the differential–difference operator is positive.
Fields of Study & Subjects
Differential Equations and Boundary Problems
Mathematical and Theoretical Analysis
Nonlinear Differential Equations Analysis
Publication details
- Journal / source
- Russian Mathematics
- Issue
- 1
- Pages
- 18–24
- Publication date
- 12 February 2026
- Language
- EN