Results 41 to 50 of about 17,806 (305)
Linear Algebra and its Applications, 1975 AbstractIn this article an infinite periodic Jacobi matrix is under consideration. It is shown that the spectrum of the matrix consists of a single finite interval if and only if the period of the matrix is equal to unity.
Cheung, Shiu Ming, Hochstadt, Harry
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Inverse Steklov Spectral Problem for Curvilinear Polygons [PDF]
International Mathematics Research Notices, 2020 Abstract This paper studies the inverse Steklov spectral problem for curvilinear polygons. For generic curvilinear polygons with angles less than $\pi $, we prove that the asymptotics of Steklov eigenvalues obtained in [ 20] determines, in a constructive manner, the number of vertices and the properly ordered sequence of side lengths, as
Krymski, S +4 more
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Nonlocal PT-symmetric integrable equations and related Riemann–Hilbert problems
Partial Differential Equations in Applied Mathematics, 2021 We aim to discuss about how to construct and classify nonlocal PT-symmetric integrable equations via nonlocal group reductions of matrix spectral problems.
Wen-Xiu Ma
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Well-posed inverse spectral problems [PDF]
Proceedings of the National Academy of Sciences, 1975 It is known that if complete spectral data are provided, the potential function in a Sturm-Liouville operator is uniquely determined almost everywhere. If two such operators have spectra that differ in a finite number of eigenvalues, then the corresponding potential functions will no longer be the same. However, as is demonstrated when the nonidentical
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Indefinite Hamiltonian systems whose Titchmarsh–Weyl coefficients have no finite generalized poles of non-positive type [PDF]
, 2013 The two-dimensional Hamiltonian system (*) y'(x)=zJH(x)y(x), x∈(a,b), where the Hamiltonian H takes non-negative 2x2-matrices as values, and $J:= \begin{pmatrix} 0 & -1 \\ 1 & 0 \end{pmatrix}$, has attracted a lot of interest over the past decades ...
Harald Woracek +3 more
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Inverse spectral problem for Dirac operators by spectral data
Filomat, 2017 This work deals with the solution of the inverse problem by spectral data for Dirac operators with piecewise continuous coefficient and spectral parameter contained in boundary condition. The main theorem on necessary and sufficient conditions for the solvability of inverse problem is proved. The algorithm of the reconstruction of potential
Akcay, Ozge, Mamedov, Khanlar R.
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, 2020 We analyze the inverse spectral problem on the half line associated with elastic surface waves. Here, we focus on Love waves. Under certain generic conditions, we establish uniqueness and present a reconstruction scheme for the S-wavespeed with multiple ...
de Hoop, Maarten, V, +7 more
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Inverse spectral problem of a class of fourth-order eigenparameter-dependent boundary value problems
Advances in Difference Equations, 2020 This paper deals with a class of inverse spectral problems of fourth-order boundary value problems with eigenparameter-dependent boundary conditions.
Ji-jun Ao, Liang Zhang
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, 2020 We analyze the inverse spectral problem on the half line associated with elastic surface waves. Here, we extend the treatment of Love waves [5] to Rayleigh waves.
de Hoop, Maarten, V, +7 more
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Cumhuriyet Science Journal, 2017 In this paper, we prove some uniqueness theorems forthe solution of inverse spectral problems of Sturm–Liouville operators withboundary conditions depending linearly on the spectral parameter and with afinite number of transmission conditions.
Yaşar Çakmak, Baki Keskin
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