Results 41 to 50 of about 104,503 (165)

A new eigenvalue problem for the difference operator with nonlocal conditions

open access: yesNonlinear Analysis, 2019
In the paper, the spectrum structure of one-dimensional differential operator with nonlocal conditions and of the difference operator, corresponding to it, has been exhaustively investigated.
Mifodijus Sapagovas   +3 more
doaj   +1 more source

Use of identity of A. Hurwitz for construction of a linear positive operator of approximation

open access: yesJournal of Numerical Analysis and Approximation Theory, 2002
By using a general algebraic identity of Adolf Hurwitz [1], which generalizes an important identity of Abel, we construct a new operator \(S_m^{(\beta_1,\ldots,\beta_m)}\) approximating the functions. A special case of this is the operator \(Q_m^\beta\)
Dimitrie D. Stancu
doaj   +2 more sources

The Wilson exact renormalization group equation and the anomalous dimension parameter

open access: yesCondensed Matter Physics, 2013
The non-linear way the anomalous dimension parameter has been introduced in the historic first version of the exact renormalization group equation is compared to current practice.
C. Bervillier
doaj   +1 more source

Linear Viscoelastic Responses: The Prony Decomposition Naturally Leads Into the Caputo-Fabrizio Fractional Operator

open access: yesFrontiers in Physics, 2018
The study addresses the physical background and modeling of linear viscoelastic response functions and their reasonable relationships to the Caputo-Fabrizio fractional operator via the Prony (Dirichlet series) series decomposition.
Jordan Yankov Hristov
doaj   +1 more source

Spectral analysis for the exceptional Xm-Jacobi equation

open access: yesElectronic Journal of Differential Equations, 2015
We provide the mathematical foundation for the $X_m$-Jacobi spectral theory. Namely, we present a self-adjoint operator associated to the differential expression with the exceptional $X_m$-Jacobi orthogonal polynomials as eigenfunctions.
Constanze Liaw   +2 more
doaj  

Position operators and interband matrix elements of scalar and vector potentials in the 8-band Kane model

open access: yesSciPost Physics
We diagonalize the 8-band Kane Hamiltonian with a proper inclusion of the interband matrix elements of the scalar and vector potentials. This leads, among other results, to a modification of the conventional expression for the spin-orbit coupling (SOC ...
I. A. Ado, M. Titov, Rembert A. Duine, Arne Brataas
doaj   +1 more source

Construction of a genetic AND gate under a new standard for assembly of genetic parts

open access: yesBMC Genomics, 2010
Background Appropriate regulation of respective gene expressions is a bottleneck for the realization of artificial biological systems inside living cells. The modification of several promoter sequences is required to achieve appropriate regulation of the
Hagiya Masami   +11 more
doaj   +1 more source

First-order selfadjoint singular differential operators in a Hilbert space of vector functions

open access: yesElectronic Journal of Differential Equations, 2017
In this article, we give a representation of all selfadjoint extensions of the minimal operator generated by first-order linear symmetric multipoint singular differential expression, with operator coefficient in the direct sum of Hilbert spaces of ...
Pembe Ipek   +2 more
doaj  

Construction Theorem and Application of a Semi-Discrete Hilbert-Type Inequality Involving Partial Sums and Variable Upper Limit Integral Functions

open access: yesAxioms
By using the construction theorem of semi-discrete Hilbert-type inequalities with quasi-homogeneous kernels and real analysis techniques, this paper establishes a semi-discrete Hilbert-type inequality involving partial sums and variable upper limit ...
Yong Hong, Bing He, Qian Zhao
doaj   +1 more source

Selfadjoint extensions of multipoint singular differential operators

open access: yesElectronic Journal of Differential Equations, 2013
This article describes all selfadjoint extensions of the minimal operator generated by a linear singular multipoint symmetric differential-operator expression for first order in the direct sum of Hilbert spaces of vector-functions.
Zameddin I. Ismailov
doaj  

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