Results 41 to 50 of about 4,826,204 (146)
Solutions of Direct and Inverse Even-Order Sturm-Liouville Problems Using Magnus Expansion
Mathematics, 2019 In this paper Lie group method in combination with Magnus expansion is utilized to develop a universal method applicable to solving a Sturm−Liouville problem (SLP) of any order with arbitrary boundary conditions.
Upeksha Perera, Christine Böckmann
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INVESTIGATION OF STURM-LIOUVILLE PROBLEM SOLVABILITY IN THE PROCESS OF ASYMPTOTIC SERIES CREATION [PDF]
Научно-технический вестник информационных технологий, механики и оптики, 2015 Subject of Research. Creation of asymptotic expansions for solutions of partial differential equations with small parameter reduces, usually, to consequent solving of the Sturm-Liouville problems chain.
A. I. Popov
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Banded Matrices and Discrete Sturm-Liouville Eigenvalue Problems
Advances in Difference Equations, 2009 We consider eigenvalue problems for self-adjoint Sturm-Liouville difference equations of any even order. It is well known that such problems with Dirichlet boundary conditions can be transformed into an algebraic eigenvalue problem for a banded, real ...
Werner Kratz
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Remarks on the Periodic Conformable Sturm–Liouville Problems
Complexity, 2023 The conformable Sturm–Liouville problem (CSLP), −x1−αpxx1−αy′x′=λρx−qxyx, for ...
Wei-Chuan Wang
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Fundamental Results of Conformable Sturm-Liouville Eigenvalue Problems
Complexity, 2017 We suggest a regular fractional generalization of the well-known Sturm-Liouville eigenvalue problems. The suggested model consists of a fractional generalization of the Sturm-Liouville operator using conformable derivative and with natural boundary ...
Mohammed Al-Refai, Thabet Abdeljawad
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A new kind of uniqueness theorems for inverse Sturm-Liouville problems
Boundary Value Problems, 2017 We prove Marchenko-type uniqueness theorems for inverse Sturm-Liouville problems. Moreover, we prove a generalization of Ambarzumyan’s theorem.
Yuri Ashrafyan
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Eigenvalue enclosures and exclosures for non-self-adjoint problems in hydrodynamics [PDF]
, 2010 In this paper we present computer-assisted proofs of a number of results in theoretical fluid dynamics and in quantum mechanics. An algorithm based on interval arithmetic yields provably correct eigenvalue enclosures and exclosures for non-self-adjoint ...
Langer, M. +10 more
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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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Nonlinear Analysis, 2006 The Sturm-Liouville problem with various types of two-point boundary conditions is considered in this paper. In the first part of the paper, we investigate the Sturm-Liouville problem in three cases of nonlocal two-point boundary conditions.
S. Pečiulytė, A. Štikonas
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Accurate solutions of fourth order Sturm–Liouville problems [PDF]
, 2010 Recently we introduced a new method which we call the Extended Sampling Method to compute the eigenvalues of second order Sturm–Liouville problems with eigenvalue dependent potential.
Chanane, Bilal
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