Results 91 to 100 of about 1,313,453 (353)

Properties of the resolvent of singular q-Dirac operators

open access: yesElectronic Journal of Differential Equations, 2020
In this article, we investigate the resolvent operator of a singular q-Dirac system. We obtain an integral representations for the resolvent of this system, in terms of the spectral function.
Bilender P. Allahverdiev, Huseyin Tuna
doaj  

On the bounded invertibility of a Schr¨odinger operator with a negative parameter in the space L2(Rn )

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2019
The Schrödinger operator L = -∆ + q ( x ) , x ∈ Rn, is one of the main operators of modern quantum mechanics and theoretical physics. It is known that many fundamental results have been obtained for the Schrödinger operator L .
M.B. Muratbekov, M.M. Muratbekov
doaj   +1 more source

Estimates for the Approximation and Eigenvalues of the Resolvent of a Class of Singular Operators of Parabolic Type

open access: yesMathematics, 2023
In this paper, we study a differential operator of parabolic type with a variable and unbounded coefficient, defined on an infinite strip. Sufficient conditions for the existence and compactness of the resolvent are established, and an estimate for the ...
Mussakan Muratbekov   +2 more
doaj   +1 more source

The PTTG1/VASP axis promotes oral squamous cell carcinoma metastasis by modulating focal adhesion and actin filaments

open access: yesMolecular Oncology, EarlyView.
VASP was found to be overexpressed in metastatic oral squamous cell carcinoma (OSCC) tissues. Notably, PTTG1‐ and VASP‐deficient OSCC cells demonstrated suppressed metastatic properties by disrupting the interaction between the cytoskeleton and focal adhesion (FAs) in the filopodia region.
Suyeon Park   +6 more
wiley   +1 more source

Treatment planning with a 2.5 MV photon beam for radiation therapy

open access: yesJournal of Applied Clinical Medical Physics, Volume 23, Issue 12, December 2022., 2022
Abstract Purpose The shallow depth of maximum dose and higher dose fall‐off gradient of a 2.5 MV beam along the central axis that is available for imaging on linear accelerators is investigated for treatment of shallow tumors and sparing the organs at risk (OARs) beyond it.
Navid Khaledi   +5 more
wiley   +1 more source

Generalized variational inclusion: graph convergence and dynamical system approach

open access: yesAIMS Mathematics
This work focused on the investigation of a generalized variation inclusion problem. The resolvent operator for generalized $ \eta $-co-monotone mapping was structured, the Lipschitz constant was estimated and its relationship with the graph convergence ...
Doaa Filali   +2 more
doaj   +1 more source

Approximation solvability for a system of implicit nonlinear variational inclusions with Η-monotone operators

open access: yesDemonstratio Mathematica, 2018
In this paper, we introduce and study a new system of variational inclusions which is called a system of nonlinear implicit variational inclusion problems with A-monotone and H-monotone operators in semi-inner product spaces.
Kim Jong Kyu, Bhat Muhammad Iqbal
doaj   +1 more source

On the relevance of Reynolds stresses in resolvent analyses of turbulent wall-bounded flows [PDF]

open access: yesJournal of Fluid Mechanics, 2019
The ability of linear stochastic response analysis to estimate coherent motions is investigated in turbulent channel flow at the friction Reynolds number $\text{Re}_{\unicode[STIX]{x1D70F}}=1007$ .
P. Morra   +3 more
semanticscholar   +1 more source

A New Identity for Resolvents of Operators [PDF]

open access: yesInternational Journal of Analysis, 2013
A new identity for resolvents of operators is suggested. We show that in appropriate situations it is more convenient than the Hilbert identity. In particular, we establish a new invertibility condition for perturbed operators as well as new bounds for the spectrum of perturbed operators.
openaire   +2 more sources

Resolvent Convergence to Dirac Operators on Planar Domains [PDF]

open access: yesAnnales Henri Poincaré, 2019
Consider a Dirac operator defined on the whole plane with a mass term of size m supported outside a domain Omega. We give a simple proof for the norm resolvent convergence, as m goes to infinity, of this operator to a Dirac operator defined on Omega with infinite mass boundary conditions.
Barbaroux, Jean-Marie   +3 more
openaire   +3 more sources

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