The inverse sturm-liouville problem
WebApr 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 the coefficient (often referred to as potential) of the delayed term in the corresponding equation from the spectra of two boundary value problems with one common boundary condition. WebApr 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 …
The inverse sturm-liouville problem
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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. Webtreat this type of inverse problems. There were many works to develop algorithms for solving the inverse Sturm-Liouville problem of reconstructing potential function from eigenvalues 3, 4 , which is known as the inverse spectral problem or inverse eigenvalue problem 5 . On the other hand, McLaughlin
WebJun 7, 2024 · The methods and notions that originated during studies of the Sturm–Liouville problem played an important role in the development of many directions in mathematics … WebApr 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 the coefficient (often...
WebAug 27, 2024 · of Theorem 13.2.1 as a Sturm-Liouville problem. Solution Comparing Equation 13.2.11 to Equation 13.2.7 shows that u(x) = 3, so we take U(x) = 3x and p(x) = … 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 …
WebJul 31, 2006 · Title: The inverse Sturm-Liouville problem with mixed boundary conditions Authors: Dmitri Chelkak , Evgeny Korotyaev Download a PDF of the paper titled The … breakdown of scottish economyWebDec 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 … costco bakery oak brook ilWebThe inverse sturm-liouville problem. Harry Hochstadt, Harry Hochstadt. Polytechnic Institute of Brooklyn. The author gratefully acknowledges the support of the National … breakdown of social norms crosswordWebFor 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 … breakdown of senate 2022WebJul 9, 2024 · In this paper, we are concerned with two inverse spectral problems with general Sturm-Liouville (SL) operators. The first problem, which will be denoted as Problem I, is a … costco bakery online cake orderWebThe inverse Sturm‐Liouville problem. I - Isaacson - 1983 - Communications on Pure and Applied Mathematics - Wiley Online Library Article The inverse Sturm‐Liouville problem. I … costco bakery order cupcakesWebThis theory is important in applied mathematics, where Sturm–Liouville problems occur very frequently, particularly when dealing with separable linear partial differential equations. … breakdown of scottish election results