標(biāo)題: Titlebook: Direct and Inverse Sturm-Liouville Problems; A Method of Solution Vladislav V. Kravchenko Book 2020 The Editor(s) (if applicable) and The A [打印本頁] 作者: 歸納 時(shí)間: 2025-3-21 18:19
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作者: ERUPT 時(shí)間: 2025-3-21 22:56
1660-8046 ntervals.Includes a brief introduction to the notion and pro.This book provides an introduction to the most recent developments in the theory and practice of direct and inverse Sturm-Liouville problems on finite and infinite intervals. A universal approach for practical solving of direct and inverse作者: 他姓手中拿著 時(shí)間: 2025-3-22 02:19
Spreading Democracy and the Rule of Law? equation . consider the homogeneous boundary conditions . There exists an infinite sequence of real numbers . such that ..?< .. if .?
作者: 颶風(fēng) 時(shí)間: 2025-3-22 08:20
Book 2020e and infinite intervals. A universal approach for practical solving of direct and inverse spectral and scattering problems is presented, based on the notion of transmutation (transformation) operators and their efficient construction. Analytical representations for solutions of Sturm-Liouville equa作者: 不規(guī)則 時(shí)間: 2025-3-22 11:34 作者: 陰謀 時(shí)間: 2025-3-22 13:55
https://doi.org/10.1007/1-4020-3842-9 one-dimensional . . Conditions satisfied by the coefficient .(.), frequently called the .,will be specified along the way, depending on the problem under consideration. The complex number . is called the . . Very often it will be convenient to work with its square root ., which is usually chosen so作者: 陰謀 時(shí)間: 2025-3-22 19:18 作者: 極微小 時(shí)間: 2025-3-22 23:23 作者: disciplined 時(shí)間: 2025-3-23 04:30
Wolfram Ziegler,Ingrid Aichert,Anja Staigern the previous chapter. Here the following remark is pertinent. Among specialists in applied fields there can be encountered an opinion that the mathematical theory of the inverse spectral problems has a limited applicability because in practice only a very restricted part of the spectral data can b作者: escalate 時(shí)間: 2025-3-23 06:14 作者: Conserve 時(shí)間: 2025-3-23 10:57
Marten Deinum,Daniel Rubio,Josh Longl numbers . and . such that ..?< .. for .??0, and the relations (.) are valid. Find the real-valued potential .(.) and the real numbers . and ., such that . is the spectrum of the Sturm–Liouville problem . and .., .?=?0, 1, … are the corresponding norming constants.作者: 歡呼 時(shí)間: 2025-3-23 15:29
Direct and Inverse Sturm-Liouville Problems978-3-030-47849-0Series ISSN 1660-8046 Series E-ISSN 1660-8054 作者: progestin 時(shí)間: 2025-3-23 19:45 作者: 強(qiáng)所 時(shí)間: 2025-3-23 23:31
Spreading Democracy and the Rule of Law?alled the .and the quotient . is traditionally called the scattering matrix, or simply .(see, e.g., [.]). Notice that due to (.) we have that . Instead of the initial condition (.), consider the condition 作者: 破裂 時(shí)間: 2025-3-24 02:48 作者: 信任 時(shí)間: 2025-3-24 08:14
Marten Deinum,Daniel Rubio,Josh Longl numbers . and . such that ..?< .. for .??0, and the relations (.) are valid. Find the real-valued potential .(.) and the real numbers . and ., such that . is the spectrum of the Sturm–Liouville problem . and .., .?=?0, 1, … are the corresponding norming constants.作者: 不朽中國 時(shí)間: 2025-3-24 10:47
https://doi.org/10.1007/978-3-662-58125-4Since the pioneering work of D. Bernoulli, J. d’Alembert, L. Euler, J. Fourier and later on of S. D. Poisson, Ch. Sturm and J. Liouville, the theory of Sturm-Liouville problems is an integral part of the professional preparation of mathematicians, physicists and engineers, and at the same time an important and actively developing research field.作者: 有特色 時(shí)間: 2025-3-24 17:14 作者: 令人發(fā)膩 時(shí)間: 2025-3-24 21:39
Simulation dynamischer Systeme,Consider now the one-dimensional Schr?dinger equation on the whole real line: . where .(.) is a real-valued function defined on (?., .) and satisfies the condition . Besides the Jost solution at plus infinity, let us introduce the Jost solution at minus infinity, defined by the asymptotic relations, . uniformly in ..作者: narcissism 時(shí)間: 2025-3-25 02:26
https://doi.org/10.1007/978-3-662-67677-6Let us consider a solution . of the equation . satisfying the initial conditions . .. Here the underlying interval is supposed to be symmetric and . is a complex-valued function belonging to ..(?., .). The following important result is well known.作者: affinity 時(shí)間: 2025-3-25 03:46
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.作者: 最高點(diǎn) 時(shí)間: 2025-3-25 10:15 作者: verdict 時(shí)間: 2025-3-25 15:21
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.作者: 不能平靜 時(shí)間: 2025-3-25 15:51
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 ..作者: Glower 時(shí)間: 2025-3-25 21:33 作者: chuckle 時(shí)間: 2025-3-26 02:58 作者: Ligneous 時(shí)間: 2025-3-26 06:05 作者: 事情 時(shí)間: 2025-3-26 11:50 作者: Expiration 時(shí)間: 2025-3-26 15:36 作者: 背心 時(shí)間: 2025-3-26 18:57
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.作者: 雄偉 時(shí)間: 2025-3-27 00:40 作者: incite 時(shí)間: 2025-3-27 04:30
Solution of the Inverse Quantum Scattering Problem on the Half-LineHere we consider the inverse problem formulated in Chap. .. Given the scattering data (.), find the corresponding short-range potential ..作者: ALIEN 時(shí)間: 2025-3-27 07:17 作者: 尾巴 時(shí)間: 2025-3-27 11:24
Quantum Scattering Problem on the Half-Linealled the .and the quotient . is traditionally called the scattering matrix, or simply .(see, e.g., [.]). Notice that due to (.) we have that . Instead of the initial condition (.), consider the condition 作者: 有法律效應(yīng) 時(shí)間: 2025-3-27 16:37 作者: KEGEL 時(shí)間: 2025-3-27 19:12
The Inverse Sturm–Liouville Problem on a Finite Intervall numbers . and . such that ..?< .. for .??0, and the relations (.) are valid. Find the real-valued potential .(.) and the real numbers . and ., such that . is the spectrum of the Sturm–Liouville problem . and .., .?=?0, 1, … are the corresponding norming constants.作者: Institution 時(shí)間: 2025-3-28 00:26
https://doi.org/10.1007/978-3-030-47849-0scattering problem; inverse scattering problem; spectral parameter power series; Neumann series of Bess作者: 存在主義 時(shí)間: 2025-3-28 05:50
978-3-030-47848-3The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl作者: 樹木中 時(shí)間: 2025-3-28 08:25
Vladislav V. KravchenkoExplains in detail direct and simple methods for solving direct and inverse Sturm-Liouville and scattering problems on finite and infinite intervals.Includes a brief introduction to the notion and pro作者: DIKE 時(shí)間: 2025-3-28 11:13
Frontiers in Mathematicshttp://image.papertrans.cn/e/image/280638.jpg作者: handle 時(shí)間: 2025-3-28 17:04 作者: lipoatrophy 時(shí)間: 2025-3-28 20:51 作者: Medley 時(shí)間: 2025-3-29 02:47 作者: Onerous 時(shí)間: 2025-3-29 05:11
Inverse Scattering Transform Methodn the previous chapter. Here the following remark is pertinent. Among specialists in applied fields there can be encountered an opinion that the mathematical theory of the inverse spectral problems has a limited applicability because in practice only a very restricted part of the spectral data can b作者: 投射 時(shí)間: 2025-3-29 09:32 作者: 慢慢啃 時(shí)間: 2025-3-29 12:16
The Inverse Sturm–Liouville Problem on a Finite Intervall numbers . and . such that ..?< .. for .??0, and the relations (.) are valid. Find the real-valued potential .(.) and the real numbers . and ., such that . is the spectrum of the Sturm–Liouville problem . and .., .?=?0, 1, … are the corresponding norming constants.作者: 我正派 時(shí)間: 2025-3-29 18:37
1660-8046 problems..The book is written for undergraduate and graduate students, as well as for mathematicians, physicists and engineers interested in direct and inverse spectral problems..978-3-030-47848-3978-3-030-47849-0Series ISSN 1660-8046 Series E-ISSN 1660-8054 作者: Alienated 時(shí)間: 2025-3-29 22:20 作者: Sputum 時(shí)間: 2025-3-30 01:25 作者: 流行 時(shí)間: 2025-3-30 06:48 作者: Cardioversion 時(shí)間: 2025-3-30 08:38 作者: euphoria 時(shí)間: 2025-3-30 13:48
J. Manuel Perez,Charalambos Kaittanise here approached from an interdisciplinary angle, revealing the notion as already rewarding and full of promise for the future..978-90-481-6997-9978-1-4020-3917-1Series ISSN 0166-6991 Series E-ISSN 2542-8292 作者: COLON 時(shí)間: 2025-3-30 17:29 作者: Perigee 時(shí)間: 2025-3-30 21:03 作者: Extemporize 時(shí)間: 2025-3-31 04:25
Einführung: Bedeutende Errungenschaften in Kunst und Wissenschaften, das ganze Drum und Dran der sogenannten Zivilisation, die uns so deutlich von allen anderen Arten unterscheidet, welche die Erde bev?lkern. Der Gedanke dieser menschlichen Exklusivit?t und überlegenheit ist so tief in uns verwurzelt, da? sel
