Results 211 to 220 of about 567,385 (243)

On the unboundedness below of the Sturm—Liouville operator

Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 1999
We 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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Spectral Properties of a q-Sturm–Liouville Operator

Communications in Mathematical Physics, 2008
In this paper, the spectral properties of a class of Sturm--Liouville type operators on the real line are studied, where the derivatives are replaced by a \(q\)-difference operator which has been introduced in the context of orthogonal polynomials. Using the relation of this operator to a direct integral of doubly-infinite Jacobi matrices, the authors ...
Brown, B. Malcolm, Christiansen, Jacob S., Schmidt, Karl Michael   +2 more
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Traces for Sturm–Liouville Operators with Constant Delays on a Star Graph

Results in Mathematics, 2021
Feng Wang, Chuan-Fu Yang
semanticscholar   +1 more source

Sturm-Liouville operators with singular potentials

Journal of Mathematical Sciences, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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The reconstruction of Sturm-Liouville operators

Inverse Problems, 1992
A 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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On the inverse problem for the regular Sturm - Liouville operator

Inverse Problems, 1996
The 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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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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A unified construction of product formulas and convolutions for Sturm–Liouville operators

, 2021
Rúben Sousa, M. Guerra, S. Yakubovich
semanticscholar   +1 more source

Sturm-Liouville theory for the radial $\Delta_p$ -operator

Mathematische Zeitschrift, 1998
Let \(s^{(p)}=| s| ^{p-1}s\) (\(s\) 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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New Trace Formulae for Sturm–Liouville Operators on the Lasso-Graph

, 2020
Sheng-Yu Guan, Chuan-Fu Yang
semanticscholar   +1 more source