Results 61 to 70 of about 5,520,045 (177)
Minimal surfaces with symmetries
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]
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
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
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
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
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]
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]
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
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.
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On the solvability of the Goursat problem for one class of loaded second-order hyperbolic equations
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

