Results 91 to 100 of about 2,992 (175)

A cases of solvability of the integral equation in quadratures

open access: yesVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2014
We consider Volterra equation with two-variable, commonly encountered in the theory of elasticity. The purpose is to find new variants of sufficient conditions for it’s solvability in explicit calculation. The reduction principle of the original equation,
Inna M Shakirova
doaj   +1 more source

On solvability of a nonlocal problem with integral conditions for hyperbolic equation in characteristic domain

open access: yesВестник Самарского университета: Естественнонаучная серия
In this article, we study a nonlocal problem for hyperbolic equation in characteristic domain. Additional information on desired solution is given in the form of integrals.
L. S. Pulkina, A. N. Smirnova
doaj   +1 more source

Complete spelling rules for the Monster tower over three-space

open access: yes, 2016
The Monster tower, also known as the Semple tower, is a sequence of manifolds with distributions of interest to both differential and algebraic geometers. Each manifold is a projective bundle over the previous.
Castro, Alex L   +2 more
core  

Nonlocal Problem for the Time-Fractional Hyperbolic-Type Equation with the Prabhakar Fractional Derivative

open access: yesVestnik KRAUNC: Fiziko-Matematičeskie Nauki
In this paper, we investigate a nonlocal boundary value problem for a time-fractional hyperbolic-type partial differential equation involving fractional derivatives of regularized Prabhakar.
Turdiev, Kh.N.
doaj   +1 more source

The global Goursat problem on R × S1

open access: yesJournal of Functional Analysis, 1989
AbstractThe Goursat problem for the nonlinear wave equation (∂τ2 − ∂ϱ2) φ + g(φ) = 0 on R × S1 is treated for Goursat data φ¦c in the Sobolev space H(C) = L2, 1(C), where the lightcone C = {τ = ¦ϱ¦} is identified with S1 by means of the coordinate ϱ ϵ [−π, π]. If g ϵ C1(R), there is a unique local solution given arbitrary Goursat data in H(C).
Baez, John C, Zhou, Zhengfang
openaire   +1 more source

Goursat problem for the Yang-Mills-Vlasov system in temporal gauge

open access: yesElectronic Journal of Differential Equations, 2011
This article studies the characteristic Cauchy problem for the Yang-Mills-Vlasov (YMV) system in temporal gauge, where the initial data are specified on two intersecting smooth characteristic hypersurfaces of Minkowski spacetime $(mathbb{R}^{4},eta )$
Marcel Dossa, Marcel Nanga
doaj  

The characteristic Cauchy problem for Dirac fields on curved backgrounds

open access: yes, 2009
On arbitrary spacetimes, we study the characteristic Cauchy problem for Dirac fields on a light-cone. We prove the existence and uniqueness of solutions in the future of the light-cone inside a geodesically convex neighbourhood of the vertex.
Hafner, Dietrich, Nicolas, Jean-Philippe
core   +1 more source

Solvability of a nonlocal problem for a hyperbolic equation with integral conditions

open access: yesElectronic Journal of Differential Equations, 2017
We study a nonlocal problem with integral conditions for a hyperbolic equation two independent variables. By introducing additional functional parameters, we investigated the solvability and construction of approximate solutions.
Anar T. Assanova
doaj  

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