The inverse sturm-liouville problem
Webpicture, 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– 7,10,11,15,18,23] and other works, but only particular questions and mostly for the selfadjoint case are considered there. We note that inverse problems for various ... 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.
The inverse sturm-liouville problem
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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 … 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
WebJul 12, 2024 · The interest in inverse problems of spectral analysis has increased considerably in recent years due to the applications to important non-linear equations in … 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 …
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. … WebJul 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 …
WebThe 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. …
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. snapchat heman filterWebDec 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 … snapchat not loading friends listWebJun 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 … snapgeneshinWebThis theory is important in applied mathematics, where Sturm–Liouville problems occur very frequently, particularly when dealing with separable linear partial differential equations. … snapmycolorsWebAug 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) = … snapchat spacesuitWebOct 19, 2024 · Some boundary value problems for Sturm–Liouville operators with discontinuous coefficients appear in various problems of sciences such as geophysics, … snapchat pics loginWebFor 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 … snapchat man and woman filter