Results 1 to 10 of about 30 (27)

On completeness of weak eigenfunctions for multi-interval Sturm-Liouville equations with boundary-interface conditions

Demonstratio Mathematica, 2023
The goal of this study is to analyse the eigenvalues and weak eigenfunctions of a new type of multi-interval Sturm-Liouville problem (MISLP) which differs from the standard Sturm-Liouville problems (SLPs) in that the Strum-Liouville equation is defined ...
Olgar Hayati
doaj   +1 more source

Hydrogenoid Spectra with Central Perturbations [PDF]

, 2018
Mathematics Subject Classification (2010) 34L10 . 34L15 . 34L16 . 47B15 . 47B25 . 47N20 . 81Q10 . 81Q80Through the Kreĭn-Višik-Birman extension scheme, unlike the previous classical analysis based on von Neumann's theory, we reproduce the ...
Michelangeli, Alessandro, Gallone, Matteo   +1 more
core   +1 more source

Finite eigenfuction approximations for continuous spectrum operators

, 1993
International Journal of Mathematics and Mathematical Sciences, Volume 16, Issue 1, Page 1-22, 1993.
Robert M. Kauffman
wiley   +1 more source

An introduction to the distorted Fourier transform

Advanced Nonlinear Studies
This article is intended as an introduction to the distorted Fourier transform associated with a Schrödinger operator on the line or the half-line. This versatile tool has seen numerous applications in nonlinear PDE in recent years.
Ko Haram, Schlag Wilhelm
doaj   +1 more source

Construction of the spectral expansion for singular β-Sturm-Liouville operators with certain applications

Demonstratio Mathematica
In this paper, we investigate the β −Sturm-Liouville problem within the framework of a generalized quantum difference calculus, which extends Hahn’s difference operator to the half-line.
Koşar Nida Palamut, Koşar Cem
doaj   +1 more source

On the basis property of the root functions of differential operators with matrix coefficients

Open Mathematics, 2011
Veliev Oktay
doaj   +1 more source

Basis properties of a fourth order differential operator with spectral parameter in the boundary condition

Open Mathematics, 2010
Aliyev Ziyatkhan
doaj   +1 more source

Eigensystem of an L 2-perturbed harmonic oscillator is an unconditional basis

Open Mathematics, 2012
Adduci James, Mityagin Boris
doaj   +1 more source

Spectral properties of some regular boundary value problems for fourth order differential operators

Open Mathematics, 2013
Kerimov Nazim, Kaya Ufuk
doaj   +1 more source

Access Suspended

Differential and Integral Equations, 1990
G Freiling
exaly   +2 more sources