Results 21 to 30 of about 204 (48)

Inverse Eigenvalue Problems for Perturbed Spherical Schroedinger Operators

, 2010
We investigate the eigenvalues of perturbed spherical Schr\"odinger operators under the assumption that the perturbation $q(x)$ satisfies $x q(x) \in L^1(0,1)$. We show that the square roots of eigenvalues are given by the square roots of the unperturbed
Abramovitz M, Aleksey Kostenko, Alexander Sakhnovich, Gerald Teschl, Guillot J-C Ralston J V, Hartman P, Levin B Ya, Marchenko A V, Pöschel J, Savchuk A M, Teschl G, Watson G N, Weidmann J, Zhornitskaya L A   +13 more
core   +3 more sources

On spectral estimates for the Schr\"odinger operators in global dimension 2

, 2012
The problem of finding eigenvalue estimates for the Schr\"odinger operator turns out to be most complicated for the dimension 2. Some important results for this case have been obtained recently.
Rozenblum, Grigori, Solomyak, Michael
core   +1 more source

Relative Oscillation Theory, Weighted Zeros of the Wronskian, and the Spectral Shift Function

, 2008
We develop an analog of classical oscillation theory for Sturm-Liouville operators which, rather than measuring the spectrum of one single operator, measures the difference between the spectra of two different operators. This is done by replacing zeros
A. Kneser, A. Zettl, B. Simon, B. Simon, D.R. Yafaev, F. Gesztesy, F. Gesztesy, F. Gesztesy, F.S. Rofe-Beketov, F.S. Rofe-Beketov, F.S. Rofe-Beketov, F.S. Rofe-Beketov, G. Stolz, G. Teschl, G. Teschl, G. Teschl, G. Teschl, Gerald Teschl, H. Krüger, Helge Krüger, I. Gohberg, J. Weidmann, J. Weidmann, J. Weidmann, J.C.F. Sturm, K.M. Schmidt, K.M. Schmidt, K.M. Schmidt, M. Reed, M.G. Krein, M.S.P. Eastham, M.Sh. Birman, P. Hartman, P. Hartman, P. Hartman, S.V. Khryashchev, T. Kato, W. Leighton, W. Walter   +38 more
core   +8 more sources

Bounds on the non-real spectrum of differential operators with indefinite weights [PDF]

, 2012
Ordinary and partial differential operators with an indefinite weight function can be viewed as bounded perturbations of non-negative operators in Krein spaces.
Behrndt, Jussi, Philipp, Friedrich, Trunk, Carsten   +2 more
core   +1 more source

Asymptotic behavior of the eigenvalues of the p(x)-Laplacian

, 2013
We obtain asymptotic estimates for the eigenvalues of the p(x)-Laplacian defined consistently with a homogeneous notion of first eigenvalue recently introduced in the literature.Comment: 10 pages, revised ...
Perera, Kanishka, Squassina, Marco
core  

Some global results for nonlinear fourth order eigenvalue problems

Open Mathematics, 2014
Aliyev Ziyatkhan
doaj   +1 more source

Lyapunov-type inequalities for an anti-periodic fractional boundary value problem involving ψ-Caputo fractional derivative. [PDF]

J Inequal Appl, 2018
Samet B, Aydi H.
europepmc   +1 more source

Sobolev type inequalities for compact metric graphs. [PDF]

J Inequal Appl, 2018
Usman M.
europepmc   +1 more source

Negative Eigenvalue Estimates for the 1D Schrödinger Operator with Measure-Potential. [PDF]

Ann Henri Poincare
Fulsche R, Nursultanov M, Rozenblum G.
europepmc   +1 more source

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Theoretical and computational perspectives on the eigenvalues of fourth-order fractional Sturm–Liouville problem

International Journal of Computer Mathematics, 2018
Qasem Al-Mdallal, Mohammed Al-Refai, Muhammed Syam   +2 more
exaly