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Eigenvalue estimates for Fourier concentration operators on two domains. [PDF]

open access: yesArch Ration Mech Anal
Marceca F, Romero JL, Speckbacher M.
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Sturm–Liouville Problems

open access: yes, 2020
In Chap. 3 we have seen how the separability of PDEs leads to ordinary differential equations problems, usually of second order. The problem is complemented with B.C.s and the reduction of the initial PDE to second order ODEs often yield a so-called Sturm–Liouville (SL) problem (named after the French mathematicians Jacques Charles Francois Sturm, 1803–
Cossali G., Tonini S.
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Indefinite Sturm–Liouville problems

Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2003
We study the spectrum of regular and singular Sturm–Liouville problems with real-valued coefficients and a weight function that changes sign. The self-adjoint boundary conditions may be regular or singular, separated or coupled. Sufficient conditions are found for (i) the spectrum to be real and unbounded below as well as above and (ii) the essential ...
Kong, Q., Wu, H., Zettl, A., Möller, M.
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A hierarchy of Sturm–Liouville problems

Mathematical Methods in the Applied Sciences, 2003
AbstractSturm–Liouville equations will be considered where the boundary conditions depend rationally on the eigenvalue parameter. Such problems apply to a variety of engineering situations, for example to the stability of rotating axles. Classesof these problems will be isolated with a rather rich spectral structure, for example oscillation, comparison
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Sturm–Liouville problems with impulse effects

Applied Mathematics and Computation, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On a Sturm-Liouville problem

Applied Mathematics & Optimization, 1994
There is considered a singular Sturm-Liouville problem \[ -(u' \sin \alpha \theta)' = \lambda u \sin^ \alpha \theta,\quad \alpha \geq 1, \quad u (\theta_ 0) = 0,\;\theta_ 0 \in (0,\pi), \] \[ \int_ 0^{\theta_ 0} u^ 2 \sin^ \alpha \theta \quad d \theta < \infty. \] The eigenvalue problem of such type arises in many situations in analysis.
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