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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

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

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

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

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

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

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

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