Titlebook: Direct and Inverse Sturm-Liouville Problems; A Method of Solution Vladislav V. Kravchenko Book 2020 The Editor(s) (if applicable) and The A

affinity

https://doi.org/10.1007/978-3-662-67677-6Let . be a solution of the equation ..??.(.).?=?0 on the interval (0, .) and .(0)?=?1, ..(0)?=?.. Thus, .(.)?=?.(0, .) which is the solution of the Cauchy problem (.) and (.) with .?=?0.

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Unglücksf?lle bei der SchiefsarbeitIn this section we consider the Sturm–Liouville problem on the half-line (see Chap. .) consisting in computation of spectral data of the problem.

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https://doi.org/10.1007/979-8-8688-0113-6Here we consider the inverse problem formulated in Chap. .. Given the scattering data (.), find the corresponding short-range potential ..

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Sturm–Liouville Problems on Finite IntervalsIn this chapter, following Kravchenko and Porter (Math Method Appl Sci 33, 459–468, 2010) and Kravchenko et al. (Appl Math Comput .(1), 173–192, 2017), we briefly explain how the SPPS and NSBF representations from Sect. . and Chap. ., respectively, can be used for solving the Sturm–Liouville problem on a finite interval.