Results 31 to 40 of about 1,226 (112)

Spectral inclusions and stability results for strongly continuous semigroups

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 37, Page 2379-2387, 2003., 2003
We prove some spectral inclusions for strongly continuous semigroups. Some stability results are also established.
Abdelkader Elkoutri, Mohamed Aziz Taoudi
wiley   +1 more source

Resolvent convergence of Sturm-Liouville operators with singular potentials

open access: yes, 2010
In this paper we consider the Sturm-Liuoville operator in the Hilbert space $L_2$ with the singular complex potential of $W^{-1}_2$ and two-point boundary conditions. For this operator we give sufficient conditions for norm resolvent approximation by the
A. M. Savchuk   +6 more
core   +1 more source

The spectrum of a class of almost periodic operators

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 36, Page 2277-2301, 2003., 2003
For almost Mathieu operators, it is shown that the occurrence of Cantor spectrum and the existence, for every point in the spectrum and suitable phase parameters, of at least one localized eigenfunction which decays exponentially are inconsistent properties.
Norbert Riedel
wiley   +1 more source

On the continuity of spectra for families of magnetic pseudodifferential operators

open access: yes, 2010
For families of magnetic pseudodifferential operators defined by symbols and magnetic fields depending continuously on a real parameter $\epsilon$, we show that the corresponding family of spectra also varies continuously with $\epsilon$.Comment: 22 ...
Blanchard E.   +5 more
core   +2 more sources

On the largest analytic set for cyclic operators

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 30, Page 1899-1909, 2003., 2003
We describe the set of analytic bounded point evaluations for an arbitrary cyclic bounded linear operator T on a Hilbert space ℋ; some related consequences are discussed. Furthermore, we show that two densely similar cyclic Banach‐space operators possessing Bishop′s property (β) have equal approximate point spectra.
A. Bourhim
wiley   +1 more source

Existence conditions for periodic solutions of second-order neutral delay differential equations with piecewise constant arguments

open access: yesOpen Mathematics, 2020
In this paper, we describe a method to solve the problem of finding periodic solutions for second-order neutral delay-differential equations with piecewise constant arguments of the form x″(t) + px″(t − 1) = qx([t]) + f(t), where [⋅] denotes the greatest
I. Muminov Mukhiddin, H. M. Murid Ali
doaj   +1 more source

A Structured Inverse Spectrum Problem for Infinite Graphs and Unbounded Operators

open access: yes, 2017
Given an infinite graph $G$ on countably many vertices, and a closed, infinite set $\Lambda$ of real numbers, we prove the existence of an unbounded self-adjoint operator whose graph is $G$ and whose spectrum is $\Lambda$
Khanmohammadi, Ehssan
core   +1 more source

Common fixed point theorems for a pair of countably condensing mappings in ordered banach spaces

open access: yesInternational Journal of Stochastic Analysis, Volume 16, Issue 3, Page 243-248, 2003., 2003
In this paper some common fixed point theorems for a pair of multivalued weakly isotone mappings on an ordered Banach space are proved.
B. C. Dhage   +2 more
wiley   +1 more source

On a class of $h$-Fourier integral operators

open access: yes, 2013
In this paper, we study the $L^{2}$-boundedness and $L^{2}$-compactness of a class of $h$-Fourier integral operators. These operators are bounded (respectively compact) if the weight of the amplitude is bounded (respectively tends to $0)$
Abderrahmane, Senoussaoui   +1 more
core   +2 more sources

The Property (EA) and Local Spectral Theory

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.
In this paper, we introduce and study the spectral property (EA). This property means that the difference between the approximate point spectrum and the upper semi‐Fredholm spectrum coincides with the difference between the approximate point spectrum and the upper semi‐Weyl spectrum.
Elvis Aponte   +3 more
wiley   +1 more source

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