Results 81 to 90 of about 367 (181)

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

Stability of the basis property of eigenvalue systems of Sturm-Liouville operators with integral boundary condition

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  

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.
europepmc   +1 more source

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.
europepmc   +1 more source

Applications of the theory of generalized Fourier transforms to Tikhonov problems

Journal of Numerical Analysis and Approximation Theory
We 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, Bhowmik SK, Bhowmik SK, Islam MS.   +3 more
europepmc   +1 more source

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
doaj   +1 more source

Sturm-Liouville operator with general boundary conditions

Electronic Journal of Differential Equations, 2005
We classify the general linear boundary conditions involving $u''$, $u'$ and $u$ on the boundary ${a,b}$ so that a Sturm-Liouville operator on $[a,b]$ has a unique self-adjoint extension on a suitable Hilbert space.
Ciprian G. Gal
doaj  

Reconstruction of the Sturm-Liouville differential operators with two constant delays

Miskolc Mathematical Notes
In this manuscript, we study the Sturm–Liouville differential operator with two constant delays. We investigate the properties of the asymptotic form of solutions, eigenvalues, and eigenfunctions of the operator. An inverse spectral problem is studied of
Mohammad Shahriari
doaj   +1 more source