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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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Recovery of Inhomogeneity from Output Boundary Data
Mathematics, 2022 We consider the Sturm–Liouville equation on a finite interval with a real-valued integrable potential and propose a method for solving the following general inverse problem.
Vladislav V. Kravchenko +2 more
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Sturm-Liouville Estimates for the Spectrum and Cheeger Constant [PDF]
, 2014 Buser's inequality gives an upper bound on the first non-zero eigenvalue of the Laplacian of a closed manifold M in terms of the Cheeger constant h(M). Agol later gave a quantitative improvement of Buser's inequality.
Benson, Brian
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Sturm-Liouville Equations with Besicovitch Almost-Periodicity [PDF]
Proceedings of the American Mathematical Society, 1989 In this article we extend a former result [Proc. Amer. Math. Soc. 97, (1986), 269-272] dealing with the oscillation of (Bohr) almost-periodic Sturm-Liouville operators to the generalization of such as considered by Besicovitch. This includes all the classical extensions of almost periodic functions as considered by Stepanoff and Weyl.
Dzurnak, A., Mingarelli, A. B.
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Fractional hybrid inclusion version of the Sturm–Liouville equation
Advances in Difference Equations, 2020 The Sturm–Liouville equation is one of classical famous differential equations which has been studied from different of views in the literature. In this work, we are going to review its fractional hybrid inclusion version. In this way, we investigate two
Zohreh Zeinalabedini Charandabi +1 more
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Sturm-Liouville Problems with Polynomially Eigenparameter Dependent Boundary Conditions
Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2023 Sturm-Liouville equation on a finite interval together with boundary conditions arises from the infinitesimal, vertical vibrations of a string with the ends subject to various constraints.
Ayşe Kabataş
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Reflectionless Sturm–Liouville equations
Journal of Computational and Applied Mathematics, 2007 We consider compactly supported perturbations of periodic Sturm-Liouville equations. In this context, one can use the Floquet solutions of the periodic background to define scattering coefficients. We prove that if the reflection coefficient is identically zero, then the operators corresponding to the periodic and perturbed equations, respectively, are
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Wintner-type nonoscillation theorems for conformable linear Sturm-Liouville differential equations [PDF]
Opuscula MathematicaIn this study, we addressed the nonoscillation of th Sturm-Liouville differential equation with a differential operator, which corresponds to a proportional-derivative controller. The equation is a conformable linear differential equation. A Wintner-type
Kazuki Ishibashi
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Application of approximation theory by nonlinear manifolds in Sturm-Liouville inverse problems
, 2006 We give here some negative results in Sturm-Liouville inverse theory, meaning that we cannot approach any of the potentials with $m+1$ integrable derivatives on $\mathbb{R}^+$ by an $\omega$-parametric analytic family better than order of $(\omega\ln ...
Amadeo Irigoyen +11 more
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Bounds of Eigenvalues for Complex q-Sturm–Liouville Problem
MathematicsThe eigenvalues of complex q-Sturm–Liouville boundary value problems are the focus of this paper. The coefficients of the corresponding q-Sturm–Liouville equation provide the lower bounds on the real parts of all eigenvalues, and the real part of the ...
Xiaoxue Han
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