Results 21 to 30 of about 29,873 (226)
Relative oscillation theory and essential spectra of Sturm–Liouville operators [PDF]
Journal of Mathematical Analysis and Applications, 2022 . We develop relative oscillation theory for general Sturm–Liouville differential expressions of the form and prove perturbation results and invariance of essential spectra in terms of the real coefficients p , q , r . The novelty here is that we also allow
J. Behrndt +3 more
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The Regulator Problem to the Convection–Diffusion Equation
Mathematics, 2023 In this paper, from linear operator, semigroup and Sturm–Liouville problem theories, an abstract system model for the convection–diffusion (C–D) equation is proposed.
Andrés A. Ramírez, Francisco Jurado
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Spectral properties of singular Sturm–Liouville operators via boundary triples and perturbation theory [PDF]
Journal of Differential Equations, 2022 We apply both the theory of boundary triples and perturbation theory to the setting of semi-bounded Sturm-Liouville operators with two limit-circle endpoints.
Dale Frymark, C. Liaw
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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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Examination of Sturm-Liouville problem with proportional derivative in control theory
Mathematical Modelling and Numerical Simulation with Applications, 2023 The current study is intended to provide a comprehensive application of Sturm-Liouville (S-L) problem by benefiting from the proportional derivative which is a crucial mathematical tool in control theory.
Bahar Acay Öztürk
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Non-classical periodic boundary value problems with impulsive conditions
Journal of New Results in Science, 2023 This study investigates some spectral properties of a new type of periodic Sturm-Liouville problem. The problem under consideration differs from the classical ones in that the differential equation is given on two disjoint segments that have a common end,
Sevda Nur Öztürk +2 more
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Sturm-Liouville difference equations having Bessel and hydrogen atom potential type
Open Physics, 2018 In this work, we bring a different approach for Sturm-Liouville problems having Bessel and hydrogen atom type and we provide a basis for direct and inverse problems.
Bas Erdal +2 more
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On the Finite Orthogonality of q-Pseudo-Jacobi Polynomials
Mathematics, 2020 Using the Sturm–Liouville theory in q-difference spaces, we prove the finite orthogonality of q-Pseudo Jacobi polynomials. Their norm square values are then explicitly computed by means of the Favard theorem.
Mohammad Masjed-Jamei +3 more
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Boundary Value Problems, 2023 This paper is associated with Sturm–Liouville type boundary value problems and periodic boundary value problems for quaternion-valued differential equations (QDEs).
Jie Liu, Siyu Sun, Zhibo Cheng
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Inverse Spectral Theory for Sturm-Liouville Operators with Distributional Potentials [PDF]
, 2013 We discuss inverse spectral theory for singular differential operators on arbitrary intervals $(a,b) \subseteq \mathbb{R}$ associated with rather general differential expressions of the type \[\tau f = \frac{1}{r} \left(- \big(p[f' + s f]\big)' + s p[f' +
Eckhardt, Jonathan +3 more
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