Results 21 to 30 of about 66,959 (230)
Қарағанды университетінің хабаршысы. Математика сериясы, 2018 In the article it is shown that the homogeneous Volterra integral equation of the second kind, to which the homogeneous boundary value problem of heat conduction in the degenerating domain is reduced, has a nonzero solution.
D.M. Akhmanova +2 more
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The adaptive finite element method for the Steklov eigenvalue problem in inverse scattering
Open Mathematics, 2020 In this study, for the first time, we discuss the posteriori error estimates and adaptive algorithm for the non-self-adjoint Steklov eigenvalue problem in inverse scattering.
Zhang Yu, Bi Hai, Yang Yidu
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Nodal count of graph eigenfunctions via magnetic perturbation
, 2011 We establish a connection between the stability of an eigenvalue under a magnetic perturbation and the number of zeros of the corresponding eigenfunction. Namely, we consider an eigenfunction of discrete Laplacian on a graph and count the number of edges
Band +10 more
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On the Analytic Solution of the Balitsky-Kovchegov Evolution Equation [PDF]
, 2015 The study presents an analytic solution of the Balitsky-Kovchegov~(BK) equation in a particular kinematics. The solution is written in the momentum space and based on the eigenfunctions of the truncated Balitsky-Fadin-Kuraev-Lipatov~(BFKL) equation in ...
Bondarenko, Sergey, Prygarin, Alex
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Mathematics, 2020 This paper is devoted to solving boundary value problems for differential equations with fractional derivatives by the Fourier method. The necessary information is given (in particular, theorems on the completeness of the eigenfunctions and associated ...
Temirkhan Aleroev
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Вестник КазНУ. Серия математика, механика, информатика, 2021 In this paper we consider one class of spectral problems for a nonlocal ordinary differential operator (with involution in the main part) with nonlocal boundary conditions of periodic type.
G. Dildabek +2 more
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Nodal inequalities on surfaces
, 2006 Given a Laplace eigenfunction on a surface, we study the distribution of its extrema on the nodal domains. It is classically known that the absolute value of the eigenfunction is asymptotically bounded by the 4-th root of the eigenvalue.
Chavel +4 more
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On eigenfunction expansions associated with wave propagation along ducts with wave-bearing boundaries [PDF]
, 2007 A class of boundary value problems, that has application in the propagation of waves along ducts in which the boundaries are wave-bearing, is considered.
Lawrie, JB
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Eigenfunctions in Finsler Gaussian solitons
Open Mathematics, 2023 Gaussian solitons are important examples in the theory of Riemannian measure space. In the first part, we explicitly characterize the first eigenfunctions of the drift Laplacian in a Gaussian shrinking soliton, which shows that apart from each coordinate
Liu Caiyun, Yin Songting
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ON STABILIZATION PROBLEM FOR A LOADED HEAT EQUATION: THE TWO-DIMENSIONAL CASE
Вестник КазНУ. Серия математика, механика, информатика, 2021 One of the important properties that characterize the behavior of solutions of boundary value problems for differential equations is stabilization, which has a direct relationship with the problems of controllability.
A. M. Ayazbaeva +2 more
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