Selfadjoint and $m$ sectorial extensions of Sturm-Liouville operators [PDF]
, 2016 The self-adjoint and $m$-sectorial extensions of coercive Sturm-Liouville operators are characterised, under minimal smoothness conditions on the coefficients of the differential expression.Comment: accepted by IEOT, in IEOT ...
Brown, B. M., Evans, W. D.
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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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Fractional Sturm-Liouville eigenvalue problems, II [PDF]
, 2017 We continue the study of a non self-adjoint fractional three-term Sturm-Liouville boundary value problem (with a potential term) formed by the composition of a left Caputo and left-Riemann-Liouville fractional integral under {\it Dirichlet type} boundary
Dehghan, Mohammad, Mingarelli, Angelo B.
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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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Zeta Determinants of Sturm—Liouville Operators [PDF]
Functional Analysis and Its Applications, 2020 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Principal Solutions Revisited [PDF]
, 2015 The main objective of this paper is to identify principal solutions associated with Sturm-Liouville operators on arbitrary open intervals $(a,b) \subseteq \mathbb{R}$, as introduced by Leighton and Morse in the scalar context in 1936 and by Hartman in ...
Clark, Stephen +2 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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On the Basis Property of the Root Functions of Some Class of Non-self-adjoint Sturm--Liouville Operators [PDF]
, 2013 We obtain the asymptotic formulas for the eigenvalues and eigenfunctions of the Sturm-Liouville operators with some regular boundary conditions. Using these formulas, we find sufficient conditions on the potential q such that the root functions of these ...
Nur, Cemile, Veliev, O. A.
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Quantum Sturm-Liouville Equation, Quantum Resolvent, Quantum Integrals, and Quantum KdV : the Fast Decrease Case [PDF]
, 1995 We construct quantum operators solving the quantum versions of the Sturm-Liouville equation and the resolvent equation, and show the existence of conserved currents. The construction depends on the following input data: the basic quantum field $O(k)$ and
A. B. Zamolodchikov +8 more
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