Results 151 to 160 of about 290 (180)
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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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On the unboundedness below of the Sturm—Liouville operator
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 1999We show that if the leading coefficient p in a Sturm-Liouville expression is negative on a set E with positive Lebesgue measure, then the minimal operator (and hence any self-adjoint realization of the Sturm-Liouville expression) is not bounded below.
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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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On recovering Sturm—Liouville operators on graphs
Mathematical Notes, 2006zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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The reconstruction of Sturm-Liouville operators
Inverse Problems, 1992A method for recovering the unknown function \(a(x)\) in the equation \((a(x)u')'+\lambda a(x)u=0 ...
Rundell, William, Sacks, Paul E.
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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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On the inverse problem for the regular Sturm - Liouville operator
Inverse Problems, 1996The author studies the inverse problem of recovering the potential \(q= q(x)\) and the constants \(h\), \(H_1\), \(H_2\) in the Sturm-Liouville problem \(-y''+ q(x) y= \lambda y\), \(y' (0)= hy (0)\), \(y' (\pi)= H_j y(\pi)\) \((j= 1, 2)\) from two spectra.
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On recovering Sturm–Liouville operators with two delays
Journal of Inverse and Ill-posed ProblemsAbstract We study the inverse spectral problems of recovering Sturm–Liouville differential operator with two constant delays a 1
Vojvodić, Biljana, Vladičić, Vladimir
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Sturm-Liouville theory for the radial $\Delta_p$ -operator
Mathematische Zeitschrift, 1998Let \(s^{(p)}=| s| ^{p-1}s\) (\(s\) real). The differential operator \[ L_p^\alpha=r^{-\alpha}\bigl(r^\alpha{u'}^{p-1}\bigr)' \] is considered, where \(s\) is the independent variable, \(\alpha\geq 0\), and \(p>1\). For \(\alpha=n-1\) and \(r=| x| \), this is the radial \(\Delta_p\)-operator in \(\mathbb{R}^n\).
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Traces and inverse nodal problem for Sturm–Liouville operators with frozen argument
Applied Mathematics Letters, 2020Yi-Teng Hu +2 more
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