Results 51 to 60 of about 180 (151)

Maximum principle for the weak solutions of the Cauchy problem for the fourth‐order hyperbolic equations

Proceedings in Applied Mathematics and Mechanics, Volume 24, Issue 1, June 2024.
Abstract We investigate the maximum principle for the weak solutions to the Cauchy problem for the hyperbolic fourth‐order linear equations with constant complex coefficients in the plane bounded domain.
Kateryna Buryachenko
wiley   +1 more source

Totally deranged elements of almost simple groups and invariable generating sets

Journal of the London Mathematical Society, Volume 109, Issue 6, June 2024.
Abstract By a classical theorem of Jordan, every faithful transitive action of a non‐trivial finite group has a derangement (an element with no fixed points). The existence of derangements with additional properties has attracted much attention, especially for faithful primitive actions of almost simple groups.
Scott Harper
wiley   +1 more source

Minimal surfaces with symmetries

Proceedings of the London Mathematical Society, Volume 128, Issue 3, March 2024.
Abstract Let G$G$ be a finite group acting on a connected open Riemann surface X$X$ by holomorphic automorphisms and acting on a Euclidean space Rn$\mathbb {R}^n$ (n⩾3)$(n\geqslant 3)$ by orthogonal transformations. We identify a necessary and sufficient condition for the existence of a G$G$‐equivariant conformal minimal immersion F:X→Rn$F:X\rightarrow
Franc Forstnerič
wiley   +1 more source

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

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

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

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

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