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Sturm—Liouville Operators

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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Uncertainty Principles for Sturm?Liouville Operators

Constructive Approximation, 2004
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Li, Zhongkai, Liu, Limin
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Dissipative Sturm-Liouville operators

Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 1981
SynopsisConsider the differential expressionwherepandw> 0 are real-valued andqis complex-valued onI. A number of criteria are established for certain extensions of the minimal operator generated by τ in the weighted Hilbert spaceto be maximal dissipative.
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Sturm-Liouville operators with singular potentials

Journal of Mathematical Sciences, 2007
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Sturm–Liouville Operators

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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Singular Sturm–Liouville Operators with Distribution Potentials

Journal of Mathematical Sciences, 2014
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Mirzoev, K. A., Konechnaya, N. N.
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L 1-uniqueness of Sturm-Liouville operators

Science in China Series A: Mathematics, 2010
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Wu, Liming, Yao, Nian, Zhang, Zhengliang
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Hausdorff operators associated with the Sturm–Liouville operator

Rendiconti del Circolo Matematico di Palermo Series 2
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Fethi Soltani, Maher Aloui
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On the Sturm-Liouville operator

Differential Equations, 2012
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Integral operators of Sturm-Liouville type

Integral Equations and Operator Theory, 2000
This paper extends the class of integral equations whose solutions are known to be finitely generated to include equations of Sturm-Liouville type. The authors obtain an explicit expression for the resolvent operator from two particular solutions, in a form amenable to the use of approximation techniques having an explicit error bound available without
Porter, D., Stirling, D. S. G.
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