Results 21 to 30 of about 7,103 (240)
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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On the uniform convergence of the eigenfunction expansions [PDF]
, 2013 We study sufficient conditions for uniform convergence of eigenfunction expansions associated with Schrodinger’s ...
Rakhimov, Abdumalik A. +1 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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Stochastic Duality and Eigenfunctions [PDF]
, 2019 We start from the observation that, anytime two Markov generators share an eigenvalue, the function constructed from the product of the two eigenfunctions associated to this common eigenvalue is a duality function. We push further this observation and provide a full characterization of duality relations in terms of spectral decompositions of the ...
Redig F., Sau F.
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PI-eigenfunctions of the Star graphs [PDF]
Linear Algebra and its Applications, 2020 We consider the symmetric group $\mathrm{Sym}_n,\,n\geqslant 2$, generated by the set $S$ of transpositions $(1~i),\,2 \leqslant i \leqslant n$, and the Cayley graph $S_n=Cay(\mathrm{Sym}_n,S)$ called the Star graph. For any positive integers $n\geqslant 3$ and $m$ with $n > 2m$, we present a family of $PI$-eigenfunctions of $S_n$ with eigenvalue $n-
Sergey Goryainov +4 more
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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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Eigenfunction concentration for polygonal billiards
, 2016 In this note, we extend the results on eigenfunction concentration in billiards as proved by the third author in [8]. There, the methods developed in Burq and Zworski [3] to study eigenfunctions for billiards which have rectangular components were ...
Hillairet, Luc +2 more
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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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Estimates for Dirichlet Eigenfunctions [PDF]
Journal of the London Mathematical Society, 1999 Estimates for the Dirichlet eigenfunctions near the boundary of an open, bounded set in euclidean space are obtained. It is assumed that the boundary satisfies a uniform capacitary density condition.
van den Berg, M, Bolthausen, E
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