Results 11 to 20 of about 151,753 (265)

The Buckling Operator: Inverse Boundary Value Problem

open access: yesMathematics, 2023
In this paper, we consider a zeroth-order perturbation q(x) of the buckling operator Δ2−κΔ, which can be uniquely determined by measuring the Dirichlet-to-Neumann data on the boundary.
Yanjun Ma
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RIEMANN BOUNDARY-VALUE PROBLEM ON CASSINI SPIRALS

open access: yesПроблемы анализа, 2021
Recently, a number of papers has been published concerning the Riemann boundary-value problems on spiral-like arcs. In all these works, the spiral has the shape close to concentric circles, i. e., with equal rates of torsion in all directions.
L. Zhixin, B. A. Kats
doaj   +1 more source

On the boundary-value problem of a spheroid [PDF]

open access: yesQuarterly of Applied Mathematics, 1973
The surface charge density of a charged spheroid is obtained in exact, closed form using a Green’s function expansion in spherical coordinates. The possibility is thus established of solving boundary-value problems analytically using coordinates that do not correspond to boundary shapes.
openaire   +1 more source

BELTRAMI EQUATIONS REVISITED: MARCINKIEWICZ EXPONENTS AND PAINLEVE-TYPE THEOREM

open access: yesПроблемы анализа, 2018
We deal with some new results on some types of Beltrami equations. There is a new approach involving the new metric characteristics: the Marcinkiewicz exponents. Another vision is applying the Cauchy-type integral representation to such equations.
Katz D . B .
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BOUNDARY VALUE PROBLEM FOR ODD-ORDER DIFFERENTIAL-OPERATIONAL EQUATIONS [PDF]

open access: yesDelta Journal of Science, 2005
In this article, we prove the existence and uniqueness of the strong solution of boundary value problem for odd-order differential- operational equations with variable operational-coefficient domains.
AMATALELAH ALI HUMMED ALHOORI
doaj   +1 more source

Solutions to a Three-Point Boundary Value Problem

open access: yesAdvances in Difference Equations, 2011
By using the fixed-point index theory and Leggett-Williams fixed-point theorem, we study the existence of multiple solutions to the three-point boundary value problem ,  ; ; , where , are constants, is a parameter, and , are given ...
Jin Liang, Zhi-Wei Lv
doaj   +2 more sources

Boundary-value problem with free boundary: zirconium alloy hydrogenation

open access: yesTransactions of the Karelian Research Centre of the Russian Academy of Sciences, 2016
One of the most important requirements for the reactor’s active zone materials (made of zirconium alloys) is low hydrogen absorptivity since hydrogen embrittlement may cause zirconium cladding damage.
Yury Zaika, Natalia Rodchenkova
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Boundary value problems on manifolds with fibered boundary [PDF]

open access: yesMathematische Nachrichten, 2005
AbstractWe define a class of boundary value problems on manifolds with fibered boundary. This class is in a certain sense a deformation between the classical boundary value problems and the Atiyah–Patodi–Singer problems in subspaces (it contains both as special cases).
Savin, Anton, Sternin, Boris
openaire   +4 more sources

The Helfrich boundary value problem [PDF]

open access: yesCalculus of Variations and Partial Differential Equations, 2019
28 pages, 3 ...
openaire   +3 more sources

Mixed Boundary Value Problem on Hypersurfaces

open access: yesInternational Journal of Differential Equations, 2014
The purpose of the present paper is to investigate the mixed Dirichlet-Neumann boundary value problems for the anisotropic Laplace-Beltrami equation divC(A∇Cφ)=f on a smooth hypersurface C with the boundary Γ=∂C in Rn.
R. DuDuchava, M. Tsaava, T. Tsutsunava
doaj   +1 more source

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