Results 141 to 150 of about 367 (181)
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Hausdorff operators associated with the Sturm–Liouville operator
Rendiconti Del Circolo Matematico Di PalermozbMATH Open Web Interface contents unavailable due to conflicting licenses.
Fethi Soltani, Soltani Fethi
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Sturm-liouville operators with singular potentials
Mathematical Notes, 1999zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Savchuk, A. M., Shkalikov, A. A.
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Transactions of the Moscow Mathematical Society, 2014
Summary: Let \( (a,b)\subset \mathbb{R}\) be a finite or infinite interval, let \( p_0(x)\), \( q_0(x)\), and \( p_1(x)\), \( x\in (a,b)\), be real-valued measurable functions such that \( p_0,p^{-1}_0\), \( p^2_1p^{-1}_0\), and \( q^2_0p^{-1}_0\) are locally Lebesgue integrable (i.e., lie in the space \( L^1_{\operatorname {loc}}(a,b)\)), and let~\( w(
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Summary: Let \( (a,b)\subset \mathbb{R}\) be a finite or infinite interval, let \( p_0(x)\), \( q_0(x)\), and \( p_1(x)\), \( x\in (a,b)\), be real-valued measurable functions such that \( p_0,p^{-1}_0\), \( p^2_1p^{-1}_0\), and \( q^2_0p^{-1}_0\) are locally Lebesgue integrable (i.e., lie in the space \( L^1_{\operatorname {loc}}(a,b)\)), and let~\( w(
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An Inverse Problem for the Sturm–Liouville Operator
Mathematical Notes, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Uncertainty Principles for Sturm?Liouville Operators
Constructive Approximation, 2004zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Li, Zhongkai, Liu, Limin
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2002
Sturm—Liouville equations arise in many applications of electromagnetics, including in the formulation of waveguiding problems using scalar potentials, and using scalar components of vector fields and potentials. Sturm— Liouville equations are also encountered in separation-of-variables solutions to Laplace and Helmholtz equations, making a connection ...
George W. Hanson, Alexander B. Yakovlev
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Sturm—Liouville equations arise in many applications of electromagnetics, including in the formulation of waveguiding problems using scalar potentials, and using scalar components of vector fields and potentials. Sturm— Liouville equations are also encountered in separation-of-variables solutions to Laplace and Helmholtz equations, making a connection ...
George W. Hanson, Alexander B. Yakovlev
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On the Sturm-Liouville operator
Differential Equations, 2012zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Invariant transformations for the Sturm-Liouville operator
Journal of Mathematical Sciences, 2006The Sturm-Liouville operator is considered on a finite interval. For particular boundary conditions, a group of invariant transformations that preserve the operator spectrum is constructed. The influence of the group of transformations on the inverse problem is discussed.
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A directed set of Sturm–Liouville operators
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 1981SynopsisAsymptotic estimates for the eigenvalues and eigenfunctions of a directed set of Sturm–Liouville operators are obtained. Particular attention is paid to the influence of the diffusion coefficient, as it becomes arbitrarily large.
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2012
Chapter 15 deals with the Hilbert space theory of Sturm–Louville operators \(-\frac{d^{2}}{dx^{2}}+ q(x)\) on intervals. First, we study the case of regular end points. Then we develop the fundamental results of H. Weyl’s classical limit point–limit circle theory. Some general limit point and limit circle criteria are proved.
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Chapter 15 deals with the Hilbert space theory of Sturm–Louville operators \(-\frac{d^{2}}{dx^{2}}+ q(x)\) on intervals. First, we study the case of regular end points. Then we develop the fundamental results of H. Weyl’s classical limit point–limit circle theory. Some general limit point and limit circle criteria are proved.
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