Yu. G. Voronova, “About problem of Cauchy for linear hyperbolic system of the equations with zero generalized Laplace invariants”, Ufa Math. J., 2:2 (2010)

Loading [MathJax]/jax/output/SVG/config.js

Ufimskii Matematicheskii Zhurnal

RUS ENG

JOURNALS PEOPLE ORGANISATIONS CONFERENCES SEMINARS VIDEO LIBRARY PACKAGE AMSBIB

JavaScript is disabled in your browser. Please switch it on to enable full functionality of the website

	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

Personal entry:
Login:
Password:
	Save password
	Enter
	Forgotten password?
	Register

Ufimskii Matematicheskii Zhurnal, 2010, Volume 2, Issue 2, Pages 20–26 (Mi ufa48)

This article is cited in 9 scientific papers (total in 9 papers)

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

Full-text PDF (388 kB) Citations (9)

References:

PDF

HTML

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.

Received: 01.04.2010

Bibliographic databases:

Document Type: Article

UDC: 517.9

Language: Russian

Citation: Yu. G. Voronova, “About problem of Cauchy for linear hyperbolic system of the equations with zero generalized Laplace invariants”, Ufa Math. J., 2:2 (2010)

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 Ufa Math. J.

\yr 2010

\vol 2

\issue 2

\mathnet{http://mi.mathnet.ru/eng/ufa48}

\zmath{https://zbmath.org/?q=an:1240.35340}

\elib{https://elibrary.ru/item.asp?id=15253175}

Linking options:

https://www.mathnet.ru/eng/ufa48

https://www.mathnet.ru/eng/ufa/v2/i2/p20

This publication is cited in the following 9 articles:

A. N. Mironov, E. F. Koskova, “O zadache s usloviyami na kharakteristikakh i svobodnoi poverkhnosti dlya giperbolicheskoi sistemy uravnenii s tremya nezavisimymi peremennymi s dvukratnymi kharakteristikami”, Izv. vuzov. Matem., 2025, no. 1, 28–36
E. A. Sozontova, “Usloviya suschestvovaniya i edinstvennosti resheniya zadachi Gursa dlya sistemy uravnenii s dominiruyuschimi chastnymi proizvodnymi”, Vestn. Sam. gos. tekhn. un-ta. Ser. Fiz.-mat. nauki, 27:2 (2023), 375–383
A. N. Mironov, A. P. Volkov, “On the Darboux problem for a hyperbolic system of equations with multiple characteristics”, Russian Math. (Iz. VUZ), 66:8 (2022), 31–36
Mironov A.N., Mironova L.B., “Riemann-Hadamard Method For One System in Three-Dimensional Space”, Differ. Equ., 57:8 (2021), 1034–1041
L. B. Mironova, “Application of Riemann method to one system in three-dimensional space”, Russian Math. (Iz. VUZ), 63:6 (2019), 42–50
L. B. Mironova, “On class of integral equations with partial integrals and its applications”, Ufa Math. J., 11:3 (2019), 61–77
E. A. Sozontova, “On solvability by quadratures conditions for second order hyperbolic systems”, Ufa Math. J., 8:3 (2016), 130–135
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
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

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

Statistics & downloads:
Abstract page:	429
Full-text PDF :	165
References:	95
First page:	2

Registration to the website

Logotypes