Cauchy and Goursat Problems for Differential Equation of Third Order
Authors
Valeriy Valentinovich Karachik
South Ural State University
Keywords:
Cauchy and Goursat problems, hyperbolic equation of third order, Riemann function
Abstract
Cauchy and Goursat problems for the hyperbolic equation of third order are considered. The theorem of the existence of the Riemann function is proved and on the basis of the aforementioned function solutions for the Cauchy and Goursat problems are introduced.
Author Biography
Valeriy Valentinovich Karachik, South Ural State University
Dr. Sc. (Physics and Mathematics), Professor, Mathematical and Functional Analysis Department
