Results 1 to 10 of about 11,653 (147)

Asymptotic distribution of eigenvalues and eigenfunctions of a nonlocal boundary value problem

open access: yesMathematical Modelling and Analysis, 2021
In this work, we obtain asymptotic formulas for eigenvalues and eigenfunctions of the second order boundary-value problem with a Bitsadze–Samarskii type nonlocal boundary condition.
Erdoğan Şen, Artūras Štikonas
doaj   +6 more sources

Asymptotic methods for solving boundary value eigenvalue problems [PDF]

open access: yesE3S Web of Conferences, 2020
The aim of the study is an approximate construction with a given accuracy of solutions of boundary value problems for eigenvalues under various types of boundary conditions.
Zhukova Galina
doaj   +1 more source

Inverse Nodal Problem for a Conformable Fractional Diffusion Operator With Parameter-Dependent Nonlocal Boundary Condition

open access: yesCumhuriyet Science Journal, 2023
In this paper, we consider the inverse nodal problem for the conformable fractional diffusion operator with parameter-dependent Bitsadze–Samarskii type nonlocal boundary condition.
Yaşar Çakmak
doaj   +1 more source

Asymptotic analysis of Sturm–Liouville problem with nonlocal integral-type boundary condition

open access: yesNonlinear Analysis, 2021
In this study, we obtain asymptotic formulas for eigenvalues and eigenfunctions of the one-dimensional Sturm–Liouville equation with one classical-type Dirichlet boundary condition and integral-type nonlocal boundary condition.
Artūras Štikonas, Erdoğan Şen
doaj   +1 more source

Asymptotic analysis of Sturm-Liouville problem with Dirichlet and nonlocal two-point boundary conditions

open access: yesMathematical Modelling and Analysis, 2023
In this study, we obtain asymptotic expansions for eigenvalues and eigenfunctions of the one–dimensional Sturm–Liouville equation with one classical Dirichlet type boundary condition and two-point nonlocal boundary condition.
Artūras Štikonas, Erdoğan Şen
doaj   +1 more source

Expansions for eigenfunction and eigenvalues of large-$n$ Toeplitz matrices [PDF]

open access: yesPapers in Physics, 2010
This paper constructs methods for finding convergent expansions for eigenvectors and eigenvalues of large-$n$ Toeplitz matrices based on a situation in which the analogous infinite-$n$ matrix would be singular. It builds upon work done by Dai, Geary, and
Leo P. Kadanoff
doaj   +1 more source

Effective operators for Robin eigenvalues in domains with corners [PDF]

open access: yes, 2020
We study the eigenvalues of the Laplacian with a strong attractive Robin boundary condition in curvilinear polygons. It was known from previous works that the asymptotics of several first eigenvalues is essentially determined by the corner openings ...
Khalile, Magda   +2 more
core   +3 more sources

Periodic Solutions of the Euler-Bernoulli Equation for Vibrations of a Beam with Fixed Ends

open access: yesСовременные информационные технологии и IT-образование, 2020
The problem of time-periodic solutions of the quasilinear equation of forced vibrations of an I-beam with fixed ends is investigated. The nonlinear term and the right-hand side of the equation are time-periodic functions.
Igor Rudakov, Mikhail Zinovyev
doaj   +1 more source

Asymptotics of a fundamental solution system for a quasidifferential equation with measures on the semiaxis

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2014
With the help of a conception of quasiderivatives asymptotic formulas for a fundamental solution system of a quasidifferential equation with measures on the semiaxis $[0,\infty)$ are constructed.
O.V. Makhnei
doaj   +1 more source

On the studying the spectrum of differential operators’ family whose potentials converge to the Dirac delta function

open access: yesИзвестия высших учебных заведений. Поволжский регион: Физико-математические науки, 2021
Background. The paper proposes a new method for studying differential operators with discontinuous coefficients. We study a sequence of differential operators of high even order whose potentials converge to the Dirac delta function.
S.I. Mitrokhin
doaj   +1 more source

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