Generalized Solution of the Cauchy Problem for Hyperbolic Equation with Two Lines of Degeneracy of the Second Kind

Generalized Solution of the Cauchy Problem for Hyperbolic Equation with Two Lines of Degeneracy of the Second Kind

In this article, a special class of generalized solutions of the Cauchy problem for the hyperbolic equation with two lines of degeneracy of the second kind is introduced and the properties of this class of generalized solutions is studied. Using the properties of the Pochhammer symbol and of the App...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Lobachevskii journal of mathematics 2021-12, Vol.42 (15), p.3616-3625
Hauptverfasser: Ergashev, T. G., Komilova, N. J.
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Analysis
Cauchy problems
Geometry
Hypergeometric functions
Mathematical analysis
Mathematical Logic and Foundations
Mathematics
Mathematics and Statistics
Probability Theory and Stochastic Processes
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:In this article, a special class of generalized solutions of the Cauchy problem for the hyperbolic equation with two lines of degeneracy of the second kind is introduced and the properties of this class of generalized solutions is studied. Using the properties of the Pochhammer symbol and of the Appell hypergeometric function of two variables, the solution of the Cauchy problem in an explicit and convenient form is found.
ISSN:1995-0802
1818-9962
DOI:10.1134/S1995080222030076