RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PERSONAL OFFICE
 General information Latest issue Archive Impact factor Search papers Search references RSS Latest issue Current issues Archive issues What is RSS

 Ufimsk. Mat. Zh.: Year: Volume: Issue: Page: Find

 Ufimsk. Mat. Zh., 2010, Volume 2, Issue 2, Pages 20–26 (Mi ufa48)

About problem of Cauchy for linear hyperbolic system of the equations with zero generalized Laplace invariants

Yu. G. Voronova

Ufa State Aviation Technical University, Ufa, Russia

Abstract: In the work it is shown that the solution of the generalised problem of Cauchy for linear hyperbolic system of equations with zero generalized Laplace invariants is reduced to the solution of a problem of Gursa for system of the same kind. The exact solution of a problem of Cauchy for one two-componental system of the equations is constructed.

Keywords: Laplace transformations, Riman function, generalized Laplace invariants, problem of Gursa.

Full text: PDF file (388 kB)
References: PDF file   HTML file

Bibliographic databases:

Document Type: Article
UDC: 517.9

Citation: Yu. G. Voronova, “About problem of Cauchy for linear hyperbolic system of the equations with zero generalized Laplace invariants”, Ufimsk. Mat. Zh., 2:2 (2010), 20–26

Citation in format AMSBIB
\Bibitem{Vor10} \by Yu.~G.~Voronova \paper About problem of Cauchy for linear hyperbolic system of the equations with zero generalized Laplace invariants \jour Ufimsk. Mat. Zh. \yr 2010 \vol 2 \issue 2 \pages 20--26 \mathnet{http://mi.mathnet.ru/ufa48} \zmath{https://zbmath.org/?q=an:1240.35340} \elib{http://elibrary.ru/item.asp?id=15253175} 

• http://mi.mathnet.ru/eng/ufa48
• http://mi.mathnet.ru/eng/ufa/v2/i2/p20

 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. A. V. Zhiber, O. S. Kostrigina, “Zadacha Gursa dlya nelineinykh giperbolicheskikh sistem uravnenii s integralami pervogo i vtorogo poryadka”, Ufimsk. matem. zhurn., 3:3 (2011), 67–79
2. Yu. G. Voronova, A. V. Zhiber, “Symmetries and Goursat problem for system of equations $u_{xy}=e^{u+v}u_y$, $v_{xy}=-e^{u+v}v_y$”, Ufa Math. J., 5:3 (2013), 20–27
3. E. A. Sozontova, “On solvability by quadratures conditions for second order hyperbolic systems”, Ufa Math. J., 8:3 (2016), 130–135
•  Number of views: This page: 166 Full text: 70 References: 27 First page: 2