Results 1 to 10 of about 228,093 (168)

On a boundary property of analytic functions [PDF]

open access: yesJournal of Inequalities and Applications, 2017
Let f be an analytic function in the unit disc | z | < 1 $|z|
Mamoru Nunokawa, Janusz Sokół
doaj   +4 more sources

Asymptotic estimations of the solution for a singularly perturbed equation with unbounded boundary conditions

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2022
The paper studies a two-point boundary value problem with unbounded boundary conditions for a linear singularly perturbed differential equation. Asymptotic estimates are given for a linearly independent system of solutions of a homogeneous perturbed ...
N. Atakhan   +2 more
doaj   +1 more source

Wigner functions with boundaries [PDF]

open access: yesJournal of Mathematical Physics, 2002
We consider the general Wigner function for a particle confined to a finite interval and subject to Dirichlet boundary conditions. We derive the boundary corrections to the “stargenvalue” equation and to the time evolution equation. These corrections can be cast in the form of a boundary potential contributing to the total Hamiltonian which together ...
Dias, Nuno Costa, Prata, João Nuno
openaire   +2 more sources

Asymptotic Convergence of the Solution of a Singularly Perturbed Integro-Differential Boundary Value Problem

open access: yesMathematics, 2020
In this study, the asymptotic behavior of the solutions to a boundary value problem for a third-order linear integro-differential equation with a small parameter at the two higher derivatives has been examined, under the condition that the roots of the ...
Assiya Zhumanazarova, Young Im Cho
doaj   +1 more source

Generalized Vector-Valued Hardy Functions

open access: yesAxioms, 2022
We consider analytic functions in tubes Rn+iB⊂Cn with values in Banach space or Hilbert space. The base of the tube B will be a proper open connected subset of Rn, an open connected cone in Rn, an open convex cone in Rn, and a regular cone in Rn, with ...
Richard D. Carmichael
doaj   +1 more source

On One Exceptional Case of the First Basic Three-Element Carleman-Type Boundary Value Problem for Bianalytic Functions in a Circle [PDF]

open access: yesИзвестия Саратовского университета. Новая серия: Математика. Механика. Информатика, 2020
This article considers a non-degenerate (nonreducible to two-element) three-element problem of Carleman type for bianalytic functions in an exceptional case, that is, when one of the coefficients of the boundary condition vanishes at a finite number of ...
Perelman , Natalia Romanovna
doaj   +1 more source

Asymptotic convergence of the solution for singularly perturbed boundary value problem with boundary jumps

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2018
The article is devoted to study of boundary value problem with boundary jumps for third order linear integro-differential equation with a small parameter at the highest derivatives, provided that additional characteristic equation’s roots have opposite ...
A.E. Mirzakulova   +3 more
doaj   +1 more source

DG-GMsFEM for Problems in Perforated Domains with Non-Homogeneous Boundary Conditions

open access: yesComputation, 2021
Problems in perforated media are complex and require high resolution grid construction to capture complex irregular perforation boundaries leading to the large discrete system of equations. In this paper, we develop a multiscale model reduction technique
Valentin Alekseev   +3 more
doaj   +1 more source

Solving nonlinear third-order three-point boundary value problems by boundary shape functions methods

open access: yesAdvances in Difference Equations, 2021
For nonlinear third-order three-point boundary value problems (BVPs), we develop two algorithms to find solutions, which automatically satisfy the specified three-point boundary conditions.
Ji Lin, Yuhui Zhang, Chein-Shan Liu
doaj   +1 more source

Construction of the solution of the boundary value problem for integro differential equation with a small parameter in highest derivatives

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2016
The article is devoted to the study analytical formula of solution of boundary value problem with initial jump for a linear integro-diferential equation of n + m order with a small parameter in the highest derivatives.
A.E. Mirzakulova, N. Atakhan
doaj   +1 more source

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