Results 21 to 30 of about 6,739 (179)

Convergence of generalized eigenfunction expansions [PDF]

, 2007
We present a simplified theory of generalized eigenfunction expansions for a commuting family of bounded operators and with finitely many unbounded operators.
Sakata, Mayumi
core   +2 more sources

Existence of Nonnegative Solutions of Linear Autonomous Functional Differential Equations

Mathematics, 2020
It is shown that if we exclude the existence of nontrivial small solutions, then a linear autonomous functional differential equation has a nontrivial nonnegative solution if and only if it has a nonnegative eigenfunction.
Mihály Pituk
doaj   +1 more source

Vibrating systems with heavy soft inclusions (in Ukrainian) [PDF]

Математичні Студії, 2012
The Neumann spectral problem for an elliptic operator of the second order with singularly perturbed coefficients is considered. The asymptotic behavior of eigenvalues and eigenfunctions is studied.
V. M. Hut
doaj  

On an integral equation of the problem of heat conduction with domain boundary moving by law of t = x 2

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, M.I. Ramazanov, M.G. Yergaliyev   +2 more
doaj   +1 more source

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
doaj   +1 more source

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., Rakhimov, Abdumalik   +1 more
core   +1 more source

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.
openaire   +3 more sources

Solving the Boundary Value Problems for Differential Equations with Fractional Derivatives by the Method of Separation of Variables

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
doaj   +1 more source

ON ROOT FUNCTIONS OF NONLOCAL DIFFERENTIAL SECOND-ORDER OPERATOR WITH BOUNDARY CONDITIONS OF PERIODIC TYPE

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, M. B. Ivanova, M. A. Sadybekov   +2 more
doaj   +1 more source

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, Marzuola, Jeremy, Hassell, Andrew   +2 more
core   +1 more source