The Transmutation Operators and Corresponding Hyperbolic Equations

Abstract

For arbitrary second-order differential operators, the existence conditions and the construction of intertwining transmutation operators are shown. In an explicit form found hyperbolic equations with two independent variables and their solutions leading to the kernels of the transmutation operators.

References in corpus (2)

• A short survey of recent results on Buschman-Erdelyi transmutations
• The general form of the Euler--Poisson--Darboux equation and application of transmutation method