The UV prolate spectrum matches the zeros of zeta. [PDF]
Proc Natl Acad Sci U S A, 2022 Connes A, Moscovici H.
europepmc +1 more source
Electronic Journal of Differential Equations, 2016 We study a question on stability and instability of the basis property of a system of eigenfunctions of the Sturm - Liouville operator, with an integral perturbation of anti-periodic type on the boundary conditions.
Nurlan S. Imanbaev
doaj
The Wave Model of the Sturm–Liouville Operator on an Interval [PDF]
Journal of Mathematical Sciences, 2019 In the paper we construct the wave functional model of a symmetric restriction of the regular Sturm-Liouville operator on an interval. The model is based upon the notion of the wave spectrum and is constructed according to an abstract scheme which was proposed earlier.
openaire +3 more sources
On Positive Definite Kernels of Integral Operators Corresponding to the Boundary Value Problems for Fractional Differential Equations. [PDF]
Entropy (Basel), 2022 Aleroev M, Aleroev T.
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An inverse spectral problem for Sturm-Liouvile operator with integral delay
Electronic Journal of Differential Equations, 2017 In this article, we study an inverse spectral problem for Sturm-Liouville operator with integral delay. We prove that the standard spectral asymptotic conditions are necessary and sufficient for unique solvability of the inverse problem.
Manaf Dzh. Manafov
doaj
DeepGreen: deep learning of Green's functions for nonlinear boundary value problems. [PDF]
Sci Rep, 2021 Gin CR, Shea DE, Brunton SL, Kutz JN.
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Applications of the theory of generalized Fourier transforms to Tikhonov problems
Journal of Numerical Analysis and Approximation TheoryWe define and study multiplier operators associated with the Sturm-Liouville operator involving a nonnegative function satisfying certain conditions.
Fethi Soltani, Akram Nemri
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Orthonormal Bernstein Galerkin technique for computations of higher order eigenvalue problems. [PDF]
MethodsX, 2023 Farzana H +3 more
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New Type of Sturm-Liouville Problems in Associated Hilbert Spaces
Journal of Function Spaces, 2014 We introduce a new type of discontinuous Sturm-Liouville problems, involving an abstract linear operator in equation. By suggesting own approaches we define some new Hilbert spaces to establish such properties as isomorphism, coerciveness, and maximal ...
O. Sh. Mukhtarov, K. Aydemir
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Data-driven discovery of Green's functions with human-understandable deep learning. [PDF]
Sci Rep, 2022 Boullé N, Earls CJ, Townsend A.
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