Results 61 to 70 of about 12,187,697 (193)

Word maps with constants on symmetric groups

Mathematische Nachrichten, Volume 297, Issue 1, Page 165-173, January 2024.
Abstract We study word maps with constants on symmetric groups. Even though there are non‐trivial mixed identities of bounded length that are valid for all symmetric groups, we show that no such identities can hold in the limit in a metric sense. Moreover, we prove that word maps with constants and non‐trivial content, that are short enough, have an ...
Jakob Schneider, Andreas Thom
wiley   +1 more source

The regularity of a degenerate Goursat problem for the 2-D isothermal Euler equations

Communications on Pure and Applied Analysis, 2019
We study the regularity of solution and of sonic boundary to a degenerate Goursat problem originated from the two-dimensional Riemann problem of the compressible isothermal Euler equations.
Yan-bo Hu, Tong Li
semanticscholar   +1 more source

A nonlocal problem for fourth order hyperbolic equations with multiple characteristic

Electronic Journal of Differential Equations, 2002
In this paper, we study fourth order differential equations with multiple characteristics and dominated low terms. We prove the existence and uniqueness of a Riemann function for this equation, and then provide an integral representation of the general ...
Bidzina Midodashvili
doaj  

On the Goursat problem for a second order equation

Electronic Journal of Differential Equations, 2002
We consider the Goursat problem for second order operators and show existence and uniqueness of smooth solutions. We prove one of the results of Hasegawa (J. Math. Soc. Japan 50 (1998), no. 3, 639--662) by the energy method.
Shigeo Tarama
doaj  

Three-dimensional integro-multipoint boundary value problem for loaded Volterra-hyperbolic integro-differential equations of Bianchi type

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2012
In this paper the combined three-dimensional non-local boundary value problem with integro-multipoint conditions for loaded volterra-hyperbolic integro-differential equation of Bianchi type is explored.
Ilgar G Mamedov
doaj   +3 more sources

The problem with the missing Goursat condition at the boundary of the domain for a degenerate hyperbolic equation with a singular coefficient

BULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICS
The work is devoted to the formulation and study of the solvability for a problem with missing conditions on the characteristic boundary of the domain and an analogue of the Frankl condition on the segment of the degeneracy for a hyperbolic equation. The
M. Mirsaburov, A. Berdyshev, S. B. Ergasheva, A.B. Makulbay   +3 more
semanticscholar   +1 more source

Approximate analytical solutions of Goursat problem within local fractional operators

, 2016
The local fractional differential transform method (LFDTM) and local fractional decomposition method (LFDM) are applied to implement the homogeneous and nonhomogeneous Goursat problem involving local fractional derivative operators.
D. Baleanu, H. Jassim, M. A. Qurashi
semanticscholar   +1 more source

Generalized solutions to a non-Lipschitz Goursat problem [PDF]

Differential Equations & Applications, 2009
In this paper we investigate solutions to the semi-linear wave equation in canonical form with non Lipschitz non-linearity and distributions or other generalized functions as data. To give a meaning to the Goursat problem with irregular data, we replace it by a biparametric family of problems.
openaire   +2 more sources

On the existence of a solution for some distributed optimal control hyperbolic system

International Journal of Mathematics and Mathematical Sciences, 2000
We consider a Bolza problem governed by a linear time-varying Darboux-Goursat system and a nonlinear cost functional, without the assumption of the convexity of an integrand with respect to the state variable.
Dariusz Idczak, Stanislaw Walczak
doaj   +1 more source

Boundary control problem for the telegraph equation

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2012
In the paper we consider the boundary control problem for the telegraph equation. We study the case of the short period of control, when the initial and final data determine the solution in two regions, having the common part.
Elena A Kozlova
doaj   +3 more sources