Results 31 to 40 of about 567,385 (243)
Sturm–Liouville operators and their spectral functions
Journal of Mathematical Analysis and Applications, 2003 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hassi, Seppo, Moller, M, de Snoo, H
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An Inverse Spectral Problem for Sturm – Liouville Operators with Singular Potentials on Graphs with a Cycle [PDF]
Известия Саратовского университета. Новая серия: Математика. Механика. Информатика, 2019 This paper is devoted to the solution of inverse spectral problems for Sturm – Liouville operators with singular potentials from class W2−1 on graphs with a cycle.
Vasilev, Sergei V.
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Random Sturm–Liouville operators with point interactions [PDF]
Mathematische Nachrichten, 2021 AbstractWe study invariance for eigenvalues of selfadjoint Sturm–Liouville operators with local point interactions. Such linear transformations are formally defined by or similar expressions with instead of δ. In a probabilistic setting, we show that a point is either an eigenvalue for all ω or only for a set of ω's of measure zero.
del Rio, Rafael, Franco, Asaf L.
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Inverse nodal problem for a class of nonlocal sturm‐liouville operator
Mathematical Modelling and Analysis, 2010 Inverse nodal problem consists in constructing operators from the given nodes (zeros) of their eigenfunctions. In this work, the Sturm‐Liouville problem with one classical boundary condition and another nonlocal integral boundary condition is considered.
Chuan-Fu Yang
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Limit-point criteria for the matrix Sturm-Liouville operator and its powers [PDF]
Opuscula Mathematica, 2017 We consider matrix Sturm-Liouville operators generated by the formal expression \[l[y]=-(P(y^{\prime}-Ry))^{\prime}-R^*P(y^{\prime}-Ry)+Qy,\] in the space \(L^2_n(I)\), \(I:=[0, \infty)\). Let the matrix functions \(P:=P(x)\), \(Q:=Q(x)\) and \(R:=R(x)\)
Irina N. Braeutigam
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Effective computation of traces, determinants, and ζ-functions for Sturm–Liouville operators [PDF]
Journal of Functional Analysis, 2017 The principal aim in this paper is to develop an effective and unified approach to the computation of traces of resolvents (and resolvent differences), Fredholm determinants, $\zeta$-functions, and $\zeta$-function regularized determinants associated ...
F. Gesztesy, K. Kirsten
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Spectral theory of Sturm–Liouville difference operators [PDF]
, 2009 We present several classes of explicit self-adjoint Sturm–Liouville difference operators with either a non-Hermitian leading coefficient function, or a non-Hermitian potential function, or a non-definite weight function, or a non-self-adjoint boundary ...
Wu, Hongyou, Shi, Guoliang
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Inverse spectral problems for Sturm–Liouville operators with complex weights
Inverse Problems in Science and Engineering, 2018 Vjacheslav Yurko
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Eigenvalue Ratios for Sturm-Liouville Operators
Journal of Differential Equations, 1993 This paper deals with estimates for eigenvalue ratios for regular Sturm-Liouville problems \(-[p(x)y']'+q(x)y=\lambda w(x)y\) on a finite interval with Dirichlet boundary conditions. In the general case \(q \geq 0\), the authors prove the upper estimate \(\lambda_ m/ \lambda_ l \leq K \{m/l\} ^ 2/k\) for \(m>l \geq 1\) where \(k\), \(K \geq 0\) are ...
Ashbaugh, Mark S. +1 more
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Fractional analogue of Sturm–Liouville operator
Documenta Mathematica, 2016 In this paper we study a symmetric fractional differential operator of order 2\alpha , (1/2<\alpha<1) .
Niyaz Tokmagambetov, Berikbol T. Torebek
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