Results 161 to 170 of about 11,899 (198)
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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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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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Dissipative Sturm-Liouville operators
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 1981SynopsisConsider 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, 2007zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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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Singular Sturm–Liouville Operators with Distribution Potentials
Journal of Mathematical Sciences, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mirzoev, K. A., Konechnaya, N. N.
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L 1-uniqueness of Sturm-Liouville operators
Science in China Series A: Mathematics, 2010zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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 2zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Fethi Soltani, Maher Aloui
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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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Integral operators of Sturm-Liouville type
Integral Equations and Operator Theory, 2000This 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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