The inverse sturm-liouville problem
WebDec 1, 2024 · In this paper, a Sturm–Liouville boundary value problem which includes conformable fractional derivatives of order α, 0<\alpha\leq 1} is considered. We … WebThe inverse sturm-liouville problem. Harry Hochstadt, Harry Hochstadt. Polytechnic Institute of Brooklyn. The author gratefully acknowledges the support of the National …
The inverse sturm-liouville problem
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WebAug 9, 2024 · In this paper, a Sturm-Liouville boundary value problem equiped with conformable fractional derivates is considered. We give some uniqueness theorems for … WebThe eigenfunctions of a Sturm-Liouville problem can be chosen to be real. Proposition 4 Let be an eigenvalue of a regular or periodic Sturm-Liouville problem. Then the subspace spanned by the eigenfunctions corresponding to admits an orthonor-mal basis of real-valued functions. Proof: The result is trivially true if is a simple eigenvalue.
Web[6] Buterin S.A. and Yurko V.A. An inverse spectral problem for Sturm–Liouville operators with a large delay, Anal. Math. Phys. 9 (2024) no.1, 17–27. [7] Pikula M., Vladiˇci´c V. and Vojvodi´c B. Inverse spectral problems for Sturm–Liouville operators with a constant delay less than half the length of the interval and Robin boundary WebThe Inverse Sturm-Liouville Problem. By Norman Levinson1). 1. In the inverse Sturm-Liouville problem it is assumed the boundary conditions and characteristic values of (1.0) y" + (X …
WebThe interest in inverse problems of spectral analysis has increased considerably in recent years due to the applications to important non-linear equations in mathematical physics. … WebJun 7, 2024 · A decisive step in the further development of the theory of inverse problems was the application of so-called operator-transform techniques (see Sturm–Liouville equation ), which was naturally developed in the framework of the theory of generalized …
WebFor the classical self-adjoint Sturm–Liouville problems, lots of work can be found (see [15,16,17] and the references therein).Regular Sturm–Liouville problems with eigenparameter-dependent boundary conditions have received much attention, since these problems are applied to engineering, physics, and electric circuits (see [18,19]).Such …
WebNov 17, 2024 · Based on this result, we propose a new method for numerical solution of the inverse Sturm–Liouville problem of recovering the potential from two spectra. The … cpt code for shoulder hemiarthroplastyWebThe inverse spectral theory for Sturm–Liouville operators on a finite interval was investigatedbymanyauthors(G.Borg,I.M.Gelfand,B.M.Levitan,V.A.Marchenko, E. … distance from mthatha to lady frereWebpicture, in the inverse problem theory for matrix Sturm–Liouville differential operators. Some aspects of the inverse problem theory for the matrix case were studied in [1,2,4– … distance from mthatha to libodeWebApr 11, 2024 · In this paper we study a partial inverse spectral problem for non-self-adjoint Sturm–Liouville operators with a constant delay and show that subspectra of two … cpt code for shoulder cortisone injectionWebThe inverse Sturm‐Liouville problem. I - Isaacson - 1983 - Communications on Pure and Applied Mathematics - Wiley Online Library Article The inverse Sturm‐Liouville problem. I … distance from mthatha to matatieleWebOct 19, 2024 · Some boundary value problems for Sturm–Liouville operators with discontinuous coefficients appear in various problems of sciences such as geophysics, … cpt code for shoulder immobilizerWebApr 11, 2024 · We suggest a new statement of the inverse spectral problem for Sturm--Liouville-type operators with constant delay. This inverse problem consists in recovering … distance from mthatha to ntabankulu