Results 61 to 70 of about 6,408,424 (182)

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

Solvability of the Goursat problem in quadratures

, 2020
We find new variants of Goursat problem solution in quadratures on the basis of the combination of the Riemann method and the cascade integration. The results are applied to two Volterra equations with particular integrals.
Sarvarova I., Zhegalov V.
core  

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

Stability Analysis of Solutions to an Optimal Control Problem Associated With a Goursat-Darboux Problem [PDF]

, 2003
In the present paper, some results concerning the continuous dependence of optimal solutions and optimal values on data for an optimal control problem associated with a Goursat-Darboux problem and an integral cost functional are ...
Majewski, M., Walczak, S., Idczak, D.
core  

On the goursat problem for a linear partial differential equation

, 2020
In this paper, the Goursat problem of a general form for a linear partial differential equation is investigated with the help of the Riemann function method. Some results are given concerning the existence and uniqueness for the solution of the suggested
Utkina Y., Maher A.
core  

A Finite Difference Method for Numerical Solution of Goursat Problem of Partial Differential Equation [PDF]

, 2020
In this article, we report the finite difference method for numerically solving the Goursat Problem, using uniform Cartesian grids on the square region.
Pramod Kumar Pandey
core  

On the solvability of the Goursat problem for one class of loaded second-order hyperbolic equations

Қарағанды университетінің хабаршысы. Математика сериясы
In this paper the solvability of the Goursat problems for two locally loaded second-order hyperbolic equations with a wave operator in the main part was explored.
A.Kh. Attaev
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

On Variants for Solvability of a Three-Dimensional Volterra Equation in Quadratures [PDF]

Учёные записки Казанского университета: Серия Физико-математические науки, 2016
A linear integral equation of the general type with three independent variables, for which the special case of this equation is known, has been studied along with indication of certain variants of solving it in quadratures. In this paper, new variants of
I.M. Shakirova
doaj  

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