The Transmutation Operators and Corresponding Hyperbolic Equations
Classical Analysis and ODEs
2018-07-25 v1
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.
Cite
@article{arxiv.1807.08969,
title = {The Transmutation Operators and Corresponding Hyperbolic Equations},
author = {Makovetsky Viktor Igorevich},
journal= {arXiv preprint arXiv:1807.08969},
year = {2018}
}