Results 71 to 80 of about 346 (179)

Computation of Eigenvalues and Eigenfunctions in the Solution of Eddy Current Problems. [PDF]

Sensors (Basel), 2023
Theodoulidis T, Skarlatos A, Tytko G.
europepmc   +1 more source

Floquet theory for left-definite Sturm–Liouville problems

Journal of Mathematical Analysis and Applications, 2005
Let \(1/p,q,w\in L_{\text{loc}}(J,\mathbb R)\), \(p,| w| >0\) a.e., where \(J=[a,\infty )\) or \(J=(-\infty ,\infty )\) and \(w\) changes sign. The operator \(T\) on \(H=L^2(J,| w| )\) is defined by \[ Tf=\frac1w[-(pf')'+qf], \] with the usual domain, where in the case \(J=[a,\infty )\) also a boundary condition \(A_1f(a)+A_2(pf')(a)=0\) is imposed. It
Marletta, M., Zettl, A.
openaire   +1 more source

Principal solution in Weyl-Titchmarsh theory for second order Sturm-Liouville equation on time scales

Electronic Journal of Qualitative Theory of Differential Equations, 2017
A connection between the oscillation theory and the Weyl-Titchmarsh theory for the second order Sturm-Liouville equation on time scales is established by using the principal solution.
Petr Zemanek
doaj   +1 more source

Exact and Numerical Solution of the Fractional Sturm-Liouville Problem with Neumann Boundary Conditions. [PDF]

Entropy (Basel), 2022
Klimek M, Ciesielski M, Blaszczyk T.
europepmc   +1 more source

On sampling theory and basic Sturm–Liouville systems

Journal of Computational and Applied Mathematics, 2007
The authors consider the basic Sturm-Liouville problem involving the second order \(q\)-difference equation with \(q\)-Jackson difference operator. The main purpose of this paper is to derive some \(q\)-analogs of the results for the ``classical'' Sturm-Liouville problem, i.e., involving the differential equation.
Annaby, M. H., Bustoz, J., Ismail, M. E.H.   +2 more
openaire   +2 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.
europepmc   +1 more source

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

Sturm-Liouville Theory and Orthogonal Functions

, 2009
Chebyschev polynomials, inessential singularities, extra examples and references ...
Azad, H., Mustafa, M. T.
openaire   +2 more sources

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

Inverse scattering problems for energy-dependent Sturm-Liouville equations with point delta-interaction and eigenparameter-dependent boundary condition

Electronic Journal of Differential Equations, 2013
We consider an inverse problem of the scattering theory for energy-dependent Sturm-Liouville equations on the half line $[0,+\infty )$ with point $\delta $-interaction and eigenparameter-dependent boundary condition.
Manaf Dzh. Manafov, Abdullah Kablan
doaj