Results 11 to 20 of about 228,192 (267)

Coupled System of Boundary Value Problems by Galerkin Method with Cubic B-Splines [PDF]

open access: yesE3S Web of Conferences, 2019
Coupled system of second order linear and nonlinear boundary value problems occur in various fields of Science and Engineering including heat and mass transfer.
Kasi Viswanadham K.N.S
doaj   +1 more source

Boundary functions for bounded harmonic functions [PDF]

open access: yesTransactions of the American Mathematical Society, 1969
Let D be the open unit disk in the complex plane and let C be its boundary, the unit circle. If 4 E C, then by an arc at t we mean a simple arc y with one endpoint at 4 such that y { } ( D. In this paper we use the term boundazy function in the following sense.
openaire   +1 more source

GENERALIZED FUNCTIONS OF BOUNDARY

open access: yesPesquimat, 2014
In this paper we prove that in general, the restriction of a function space of Sobolev H1(Ω) the boundary of the domain Ω belongs to L2(∂Ω); for the case of boundary regularly provided to be continuous and Lipschitz.
Claudio Fernando Balcázar Huapaya   +1 more
doaj   +1 more source

BOUNDARY VALUES OF ANALYTIC FUNCTIONS

open access: yesFar East Journal of Applied Mathematics, 2023
Let $D$ be a connected bounded domain in $\R^2$, $S$ be its boundary which is closed, connected and smooth. Let $Φ(z)=\frac 1 {2πi}\int_S\frac{f(s)ds}{s-z}$, $f\in L^1(S)$, $z=x+iy$. Boundary values of $Φ(z)$ on $S$ are studied. The function $Φ(t)$, $t\in S$, is defined in a new way. Necessary and sufficient conditions are given for $f\in L^1(S)$ to be
openaire   +2 more sources

The functional bootstrap for boundary CFT [PDF]

open access: yesJournal of High Energy Physics, 2020
Abstract We introduce a new approach to the study of the crossing equation for CFTs in the presence of a boundary. We argue that there is a basis for this equation related to the generalized free field solution. The dual basis is a set of linear functionals which act on the crossing equation to give a set of sum rules on the ...
Kaviraj, Apratim   +1 more
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Representation of Green’s functions of the wave equation on a segment in finite terms [PDF]

open access: yesИзвестия Саратовского университета. Новая серия: Математика. Механика. Информатика, 2022
Solutions of initial-boundary value problems on the excitation of oscillations of a finite segment by an instantaneous point sourse are investigated. Solutions to these problems, called Green's functions of the equation of oscillations on a segment ...
Malyshev, Ksaverii Yurievich
doaj   +1 more source

Green functions for stationary problems with nonlocal boundary conditions

open access: yesLietuvos Matematikos Rinkinys, 2008
In this paper the Green functions for various stationary problems with nonlocal boundary conditions are investigated.We compare Green functions properties for classical boundary conditions with properties of Green functions for problems with nonlocal ...
Svetlana Roman, Artūras Štikonas
doaj   +1 more source

Green's functions of multiband non-Hermitian systems

open access: yesPhysical Review Research, 2023
Green's functions of non-Hermitian systems play a fundamental role in various dynamical processes. Because non-Hermitian systems are sensitive to boundary conditions due to the non-Hermitian skin effect, open-boundary Green's functions are closely ...
Yu-Min Hu, Zhong Wang
doaj   +1 more source

A boundary jumps phenomenon in the integral boundary value problem for singularly perturbed differential equations

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2020
The article is devoted to the study of the asymptotic behavior of solving an integral boundary value problem for a third - order linear differential equation with a small parameter for two higher derivatives, provided that the roots of the "additional ...
N.U. Bukanay   +3 more
doaj  

Orthogonal Franklin system and orthogonal system of finite functions in numerical methods of boundary problems solving

open access: yesVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2015
Possibilities of classical trigonometric Fourier series are substantially limited in 2-D and 3-D boundary value problems. Boundary conditions of such problems for areas with curvilinear boundaries often fails when using the classical Fourier series.
Victor L Leontiev
doaj   +1 more source

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