Results 111 to 120 of about 567,385 (243)

On Hochstadt-Lieberman Theorem For Sturm-Liouville Operators

open access: yes, 2011
The inverse spectral problem of the Sturm-Liouville operator Lq = -d2/dx2 +q(x) is considered, where q(x) is an integrable function on (0,1).
Shieh, Chung-tsun; Buterin, S. A.; Ignatiev, Mikhail   +1 more
core  

Selfadjoint and m Sectorial Extensions of Sturm–Liouville Operators [PDF]

open access: yes, 2016
The self-adjoint and m-sectorial extensions of coercive Sturm–Liouville operators are characterised, under minimal smoothness conditions on the coefficients of the differential ...
Brown, Brian Malcolm   +3 more
core   +2 more sources

The trace formula for Sturm–Liouville operator with operator coefficient

open access: yesJournal of Mathematical Physics, 2001
We will obtain a formula for the trace of the Sturm–Liouville operator with operator coefficient.
Gül, Erdal   +2 more
openaire   +2 more sources

Three spectra inverse Sturm–Liouville problems with overlapping eigenvalues

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2017
In the paper we show that the Dirichlet spectra of three Sturm–Liouville differential operators defined on the intervals $[0,1]$, $[0,a]$ and $[a,1]$ for some $a\in (0,1)$ fixed, together with the knowledge of the normalizing constants corresponding to ...
Shouzhong Fu, Zhong Wang, Guangsheng Wei
doaj   +1 more source

Sturm-Liouville operators and applications

open access: yes, 2011
The spectral theory of Sturm-Liouville operators is a classical domain of analysis, comprising a wide variety of problems. Besides the basic results on the structure of the spectrum and the eigenfunction expansion of regular and singular Sturm-Liouville ...
Marchenko, Vladimir A
core  

Positive Solutions for Sturm-Liouville Boundary Value Problems in a Banach Space

open access: yesAbstract and Applied Analysis, 2012
We consider the existence of single and multiple positive solutions for a second-order Sturm-Liouville boundary value problem in a Banach space. The sufficient condition for the existence of positive solution is obtained by the fixed point theorem of ...
Hua Su, Lishan Liu, Yonghong Wu
doaj   +1 more source

The UV prolate spectrum matches the zeros of zeta. [PDF]

open access: yesProc Natl Acad Sci U S A, 2022
Connes A, Moscovici H.
europepmc   +1 more source

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