RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB
 General information Latest issue Forthcoming papers Archive Impact factor Editorial staff Guidelines for authors License agreement Editorial policy Submit a manuscript Search papers Search references RSS Latest issue Current issues Archive issues What is RSS

 Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]: Year: Volume: Issue: Page: Find

 Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 2017, Volume 21, Number 4, Pages 752–759 (Mi vsgtu1577)

Short Communication

The Cauchy problem for a system of the hyperbolic differential equations of the $n$-th order with the nonmultiple characteristics

A. A. Andreeva, J. O. Yakovlevab

a Samara State Technical University, Samara, 443100, Russian Federation
b Samara National Research University, Samara, 443086, Russian Federation

Abstract: In the paper the Cauchy problem is considered for the hyperbolic differential equation of the $n$-th order with the nonmultiple characteristics. The regular solution of the Cauchy problem for the hyperbolic differential equation of the $n$-th order with the nonmultiple characteristics is considered. In the paper the solution of the Cauchy problem for the system of the hyperbolic differential equations of the $n$-th order with the nonmultiple characteristics is considered. The existence and uniqueness theorem for the regular solution of the Cauchy problem for the system of the hyperbolic differential equations of the $n$-th order with the nonmultiple characteristics is considered as the result of the research.

Keywords: $n$-th order hyperbolic differential equation, system of the hyperbolic differential equations of the $n$-th order, nonmultiple characteristics, method of the general solutions, Cauchy problem, D'Alembert formula
Author to whom correspondence should be addressed

DOI: https://doi.org/10.14498/vsgtu1577

Full text: PDF file (634 kB) (published under the terms of the Creative Commons Attribution 4.0 International License)
References: PDF file   HTML file

Bibliographic databases:

UDC: 517.956.3
MSC: 35L56
Revised: December 13, 2017
Accepted: December 18, 2017
First online: December 25, 2017

Citation: A. A. Andreev, J. O. Yakovleva, “The Cauchy problem for a system of the hyperbolic differential equations of the $n$-th order with the nonmultiple characteristics”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 21:4 (2017), 752–759

Citation in format AMSBIB
\Bibitem{AndYak17} \by A.~A.~Andreev, J.~O.~Yakovleva \paper The Cauchy problem for a system of the hyperbolic differential equations of the $n$-th order with the nonmultiple characteristics \jour Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.] \yr 2017 \vol 21 \issue 4 \pages 752--759 \mathnet{http://mi.mathnet.ru/vsgtu1577} \crossref{https://doi.org/10.14498/vsgtu1577} \zmath{https://zbmath.org/?q=an:06964886} \elib{http://elibrary.ru/item.asp?id=32712836} 

• http://mi.mathnet.ru/eng/vsgtu1577
• http://mi.mathnet.ru/eng/vsgtu/v221/i4/p752

 SHARE:

Citing articles on Google Scholar: Russian citations, English citations
Related articles on Google Scholar: Russian articles, English articles

This publication is cited in the following articles:
1. Yu. O. Yakovleva, “Zadacha Koshi dlya giperbolicheskogo uravneniya tretego poryadka”, Vestn. SamU. Estestvennonauchn. ser., 24:3 (2018), 30–34
•  Number of views: This page: 216 Full text: 93 References: 36