Results 11 to 20 of about 5,326 (220)
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
Sims, Robert
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Sturm–Liouville Differential Equations Involving Kurzweil–Henstock Integrable Functions
Mathematics, 2021 In this paper, we give sufficient conditions for the existence and uniqueness of the solution of Sturm–Liouville equations subject to Dirichlet boundary value conditions and involving Kurzweil–Henstock integrable functions on unbounded intervals. We also
Salvador Sánchez-Perales +3 more
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Sufficient and Necessary Conditions for the Classification of Sturm-Liouville Differential Equations with Complex Coefficients [PDF]
Abstract and Applied Analysis, 2011 This paper gives sufficient and necessary conditions for the classification of Sturm-Liouville differential equations with complex coefficients given by Brown et al.
Bing Xie, Jian Gang Qi
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Weyl’s classification of singular impulsive Hahn–Sturm–Liouville equations [PDF]
Miskolc Mathematical NotesIn this work, Weyl’s famous classification was made for singular impulsive Hahn–Sturm–Liouville equations.
Bilender P Allahverdiev +2 more
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Convolution algebras arising from Sturm-Liouville transforms and applications
International Journal of Mathematics and Mathematical Sciences, 2001 A regular Sturm-Liouville eigenvalue problem gives rise to a related linear integral transform. Churchill has shown how such an integral transform yields, under certain circumstances, a generalized convolution operation.
Jason P. Huffman, Henry E. Heatherly
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Inverse problems for Sturm-Liouville difference equations
Filomat, 2016 We consider a discrete Sturm-Liouville problem with Dirichlet boundary conditions. We show that the specification of the eigenvalues and weight numbers uniquely determines the potential. Moreover, we also show that if the potential is symmetric, then it is uniquely determined by the specification of the eigenvalues.
Bohner, Martin, Koyunbakan, Hikmet
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Journal of Mathematics, 2022 Fractional Sturm–Liouville and Langevin equations have recently attracted much attention. In this paper, we investigate a coupled system of fractional Sturm–Liouville–Langevin equations with antiperiodic boundary conditions in the framework of Caputo ...
Jinbo Ni, Jifeng Zhang, Wei Zhang
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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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On a Partial Fractional Hybrid Version of Generalized Sturm–Liouville–Langevin Equation
Fractal and Fractional, 2022 As we know one of the most important equations which have many applications in various areas of physics, mathematics, and financial markets, is the Sturm–Liouville equation.
Zohreh Heydarpour +4 more
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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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