Results 21 to 30 of about 5,721 (217)
Basic Sturm–Liouville problems [PDF]
Journal of Physics A: Mathematical and General, 2005 The aim of the paper under review is to investigate some basic features of the Sturm-Liouville eigenvalue problems when the usual derivative of functions is replaced by the \(q\)-difference operator, where ...
Annaby, M. H., Mansour, Z. S.
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A New Type of Sturm-Liouville Equation in the Non-Newtonian Calculus
Journal of Function Spaces, 2021 In mathematical physics (such as the one-dimensional time-independent Schrödinger equation), Sturm-Liouville problems occur very frequently. We construct, with a different perspective, a Sturm-Liouville problem in multiplicative calculus by some ...
Sertac Goktas
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Programmable Multifunctional Bistable Structures for Energy Transfer and Dissipation. [PDF]
Adv Sci (Weinh)Utilizing the energy conversion characteristics of asymmetric bistable beams, this study develops a programmable multifunctional system composed of multiple bistable beams for energy transfer and dissipation. The high energy density enables the system to demonstrate potential in transient scenarios such as target delivery and shock absorption ...
Na X +6 more
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q-multiplicative Sturm-Liouville problem [PDF]
, 2023 In this paper, the classical Sturm–Liouville problem is investigated in the context of q-multiplicative calculus. Some spectral properties of the q-multiplicative Sturm–Liouville problems, such as formally self-adjointness, and orthogonality of ...
Tuna, H., Allahverdiev, B.P.
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Some estimates for the minimal eigenvalue of the Sturm-Liouville problem with third-type boundary conditions [PDF]
, 2011 summary:We consider the Sturm-Liouville problem with symmetric boundary conditions and an integral condition.
Karulina, Elena
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Inverse spectral problems for Sturm–Liouville operators with partial information [PDF]
, 2014 In this paper, we study the inverse spectral problems for Sturm–Liouville operators with Robin boundary conditions and show that if the potential q on the interval [0,α] for some α∈[0,1) is given a priori, then the potential q on the whole interval [0,1]
Wang, Yu-Ping; Shieh, Chung-Tsun; Ma, Yan-Ting +1 more
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The Principle of Localization at the Class of Functions Integrable in the Riemann for the Processes of Lagrange - Sturm - Liouville [PDF]
Известия Саратовского университета. Новая серия: Математика. Механика. Информатика, 2020 Let us say that the principle of localization holds at the class of functions $F$ at point $x_0 \in [0, \pi]$ for the Lagrange\,--\,Sturm\,--\,Liouville interpolation process $L_n^{SL}(f,x)$ if $\lim_{n \rightarrow \infty}\left|L_n^{SL}(f, x_0)-L_n^{SL ...
Aleksandr Yurievich Trynin +1 more
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Mathematics, 2020 The history of boundary value problems for differential equations starts with the well-known studies of D. Bernoulli, J. D’Alambert, C. Sturm, J. Liouville, L. Euler, G. Birkhoff and V. Steklov.
Oktay Sh. Mukhtarov, Merve Yücel
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Spectral corrections for Sturm–Liouville problems
Journal of Computational and Applied Mathematics, 2001 The authors discuss the numerical integration of linear 1-D Sturm-Liouville problems in finite and infinite intervals. A shooting method is implemented both for the eigenvalues and the eigenfunctions. Newton iterations, with their typical advantages and risks, are used to calculate an approximation of an eigenvalue.
GHELARDONI, PAOLO +2 more
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The dual eigenvalue problems of the conformable fractional Sturm–Liouville problems
Boundary Value Problems, 2021 In this paper, we are concerned with the eigenvalue gap and eigenvalue ratio of the Dirichlet conformable fractional Sturm–Liouville problems. We show that this kind of differential equation satisfies the Sturm–Liouville property by the Prüfer ...
Yan-Hsiou Cheng
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