Results 11 to 20 of about 4,764 (211)
Spectral partitions for Sturm–Liouville problems [PDF]
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2019 AbstractWe look for best partitions of the unit interval that minimize certain functionals defined in terms of the eigenvalues of Sturm–Liouville problems. Via Γ-convergence theory, we study the asymptotic distribution of the minimizers as the number of intervals of the partition tends to infinity.
Tilli, Paolo, Zucco, Davide
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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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Fractal Sturm–Liouville Theory
Fractal and FractionalThis paper provides a short summary of fractal calculus and its application to generalized Sturm–Liouville theory. It presents both the fractal homogeneous and non-homogeneous Sturm–Liouville problems and explores the theory’s applications in optics.
Alireza Khalili Golmankhaneh +3 more
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Computing eigenvalues of regular Sturm-Liouville problems
Electronic Journal of Differential Equations, 1994 of regular self-adjoint Sturm-Liouville problems with matrix coefficients and arbitrary coupled boundary conditions.
H. I. Dwyer, A. Zettl
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Inequalities among eigenvalues of Sturm–Liouville problems
Journal of Inequalities and Applications, 1999 There are well-known inequalities among the eigenvalues of Sturm–Liouville problems with periodic, semi-periodic, Dirichlet and Neumann boundary conditions.
Kong Q, Wu H, Zettl A, Eastham MSP
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Eigenvalue computations for regular matrix Sturm-Liouville problems
Electronic Journal of Differential Equations, 1995 of regular self-adjoint Sturm-Liouville problems with matrix coefficients and separated boundary conditions.
H. I. Dwyer, A. Zettl
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Using homotopy analysis method to find the eigenvalues of higher order fractional Sturm–Liouville problems [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2020 We utilize the homotopy analysis method to find eigenvalues of fractional Sturm–Liouville problems. Inasmuch as very few papers have been devoted to estimating eigenvalues of these kind of problems, this work enjoys a particular significance in many ...
J. Biazar, M. Dehghan, T. Houlari
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On partial fractional Sturm–Liouville equation and inclusion
Advances in Difference Equations, 2021 The Sturm–Liouville differential equation is one of interesting problems which has been studied by researchers during recent decades. We study the existence of a solution for partial fractional Sturm–Liouville equation by using the α-ψ-contractive ...
Zohreh Zeinalabedini Charandabi +3 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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The Uniqueness Theorem for the Solutions of Dual Equations of Sturm-Liouville Problems with Singular Points and Turning Points [PDF]
Sahand Communications in Mathematical Analysis, 2019 In this paper, linear second-order differential equations of Sturm-Liouville type having a finite number of singularities and turning points in a finite interval are investigated.
Seyfollah Mosazadeh
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