Results 1 to 10 of about 35 (31)

On completeness of weak eigenfunctions for multi-interval Sturm-Liouville equations with boundary-interface conditions

Demonstratio Mathematica, 2023
The goal of this study is to analyse the eigenvalues and weak eigenfunctions of a new type of multi-interval Sturm-Liouville problem (MISLP) which differs from the standard Sturm-Liouville problems (SLPs) in that the Strum-Liouville equation is defined ...
Olgar Hayati
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The finite spectrum of Sturm-Liouville problems with n transmission conditions and quadratic eigenparameter-dependent boundary conditions

Open Mathematics, 2021
For any positive integer n and a set of positive integers mi{m}_{i}, i=1,2,…,n+1i=1,2,\ldots ,n+1, we construct a class of quadratic eigenparameter-dependent boundary Sturm-Liouville problems with n transmission conditions, which have at most ∑i=1n+1mi+n+
Li Jia, Hao Xiaoling, Li Kun, Yao Siqin
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An efficient finite element method based on dimension reduction scheme for a fourth-order Steklov eigenvalue problem

Open Mathematics, 2022
In this article, an effective finite element method based on dimension reduction scheme is proposed for a fourth-order Steklov eigenvalue problem in a circular domain.
Zhang Hui, Liu Zixin, Zhang Jun
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Hydrogenoid Spectra with Central Perturbations [PDF]

, 2018
Mathematics Subject Classification (2010) 34L10 . 34L15 . 34L16 . 47B15 . 47B25 . 47N20 . 81Q10 . 81Q80Through the Kreĭn-Višik-Birman extension scheme, unlike the previous classical analysis based on von Neumann's theory, we reproduce the ...
Michelangeli, Alessandro, Gallone, Matteo   +1 more
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Lyapunov-type inequalities and eigenvalue bounds for the Airy operator

Demonstratio Mathematica
We study a second-order boundary value problem associated with the Airy operator. Lyapunov-type inequalities are established and applied to derive explicit lower bounds for the eigenvalues. Numerical examples are provided to illustrate the results.
Jleli Mohamed
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Inverse Problem for Fractional Diffusion Equation [PDF]

, 2011
MSC 2010: 26A33, 33E12, 34K29, 34L15, 35K57, 35R30We prove that by taking suitable initial distributions only finitely many measurements on the boundary are required to recover uniquely the diffusion coefficient of a one dimensional fractional diffusion ...
Tuan, Vu Kim
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On the asymptotics of eigenvalues for a Sturm-Liouville problem with symmetric single-well potential

Demonstratio Mathematica
In this article, Sturm-Liouville problem with one boundary condition including an eigenparameter is considered, and the asymptotic expansion of its eigenparameter is calculated.
Başkaya Elif
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Explicit inverse of symmetric, tridiagonal near Toeplitz matrices with strictly diagonally dominant Toeplitz part

Special Matrices
Let Tn=tridiag(−1,b,−1){T}_{n}={\rm{tridiag}}\left(-1,b,-1), an n×nn\times n symmetric, strictly diagonally dominant tridiagonal matrix (∣b∣>2| b| \gt 2). This article investigates tridiagonal near-Toeplitz matrices T˜n≔[t˜i,j]{\widetilde{T}}_{n}:= \left[
Kurmanbek Bakytzhan, Erlangga Yogi, Amanbek Yerlan   +2 more
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Zettl: A new proof of the inequalities among SturmLiouville eigenvalues

, 2008
. We consider self-adjoint regular Sturm-Liouville problems with positive leading coefficients and weight functions. A new proof of the inequalities among the eigenvalues for separated boundary conditions and those for coupled boundary conditions ...
Qun Lin, Anton Zettl, Qingkai Kong, Hongyou Wu   +3 more
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On The Number Of Bound States For The 1-D Schrödinger Equation

, 2007
: The number of bound states of the one-dimensional Schrodinger equation is analyzed in terms of the number of bound states corresponding to "fragments" of the potential. When the potential is integrable and has a finite first moment, the sharp
Tuncay Aktosun, Cornelis Van Der Mee, Martin Klaus   +2 more
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