Zobrazeno 1 - 10
of 69
pro vyhledávání: '"riemann method"'
Autor:
K.B. Mansimov, R.O. Mastaliyev
Publikováno v:
Известия Иркутского государственного университета: Серия "Математика", Vol 36, Iss 1, Pp 29-43 (2021)
The article considers second-order system of linear stochastic partial differential equations of hyperbolic type with Goursat boundary conditions. Earlier, in a number of papers, representations of the solution Goursat problem for linear stochastic e
Externí odkaz:
https://doaj.org/article/93b51cfeb8c54d5bb2012fc6479fd5ea
Publikováno v:
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, Vol 25, Iss 2, Pp 207-240 (2021)
This review article is devoted to a class of linear equations with a dominant (leading) partial derivative of the form \((D+M)u=f\), where \(Du\) is a mixed partial derivative, and \(M\) is a linear differential operator containing the derivatives of
Externí odkaz:
https://doaj.org/article/ed59781fa6604439b670f7662b49067a
Publikováno v:
Mathematics, Vol 11, Iss 4, p 951 (2023)
In this paper, the method of transmutation operators is used to construct an exact solution of the Goursat problem for a fourth-order hyperbolic equation with a singular Bessel operator. We emphasise that in many other papers and monographs the fract
Externí odkaz:
https://doaj.org/article/bd0108da63b94ff68ac43295a0aba261
Autor:
Valentin Ivanovich Zhegalov
Publikováno v:
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, Vol 23, Iss 4, Pp 771-776 (2019)
For a fourth-order equation with two independent variables a variant of the Goursat problem with data on two intersecting characteristics is considered. It includes not only the construction of the desired function, but also the coefficients of the e
Externí odkaz:
https://doaj.org/article/d34de6248d7f4a9b80770c2636f55a90
Akademický článek
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Akademický článek
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Publikováno v:
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, Vol 19, Iss 4, Pp 603-612 (2015)
We consider the system of $n$ partial differential equations in matrix notation (the system of Euler-Poisson-Darboux equations). For the system we formulate the Cauchy-Goursat and Darboux problems for the case when the eigenvalues of the coefficient
Externí odkaz:
https://doaj.org/article/8accf492ed20430bbcbc7fdfb9a7de5f
In this paper, the method of transformation operators is used to construct an exact solution of the Goursat problem for a fourth-order hyperbolic equation with a singular Bessel operator. The fractional Erdelyi-Kober operator is used as a transformat
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0807164293910bad71130b80b1d0c495
Autor:
Ismoilov A.
In the article a Darboux problem is considered for a generalized nonhomogeneous Euler-Poisson-Darboux equation in the characteristic triangle. A solution of the problem was found using Riemann method. It was proved that the function defined by the fo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0a04a53f5ee24df25c0ad0d6ab352821
Autor:
R.O. Mastaliyev, K.B. Mansimov
Publikováno v:
Известия Иркутского государственного университета: Серия "Математика", Vol 36, Iss 1, Pp 29-43 (2021)
The article considers second-order system of linear stochastic partial differential equations of hyperbolic type with Goursat boundary conditions. Earlier, in a number of papers, representations of the solution Goursat problem for linear stochastic e