Results 61 to 70 of about 5,520,045 (177)

Minimal surfaces with symmetries

open access: yesProceedings 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

Qualitative behaviour of solutions of the Goursat problem for hyperbolic differential equations [PDF]

open access: yes, 1987
Oscillation criteria and asymptotic behavior of solutions of characteristic initial-value problems have been extended to the Goursat ...
Iraniparast, N.
core   +1 more source

A nonlocal problem for fourth order hyperbolic equations with multiple characteristic

open access: yesElectronic 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  

Word maps with constants on symmetric groups

open access: yesMathematische 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

open access: yes, 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

open access: yesVestnik 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

Goursat problem for two-dimensional second-order hyperbolic operator-differential equations with variable domains [PDF]

open access: yes, 2012
We develop a modification of the energy inequality method and use it to prove the well-posedness of the Goursat problem for linear second-order hyperbolic differential equations with operator coefficients whose domains depend on the two-dimensional ...
Lomovtsev, F. E., Motevich, A. V.
core   +1 more source

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

open access: yes, 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  

The global solution of a Goursat problem for the polyvibrating equation of order 2p

open access: yes, 1985
The paper deals with a Goursat problem for the polyvibrating equation of order 2p. The question is reduced to a system of integro-functional Volterra equations and then the existence of the unique global solution of above-said problem is proved.Michalski
Marek W. Michalski, Michalski, Marek W.
core   +1 more source

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

open access: yesҚарағанды 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

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