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Fixed Points of Difference Operator of Meromorphic Functions [PDF]

open access: yesThe Scientific World Journal, 2014
Let f be a transcendental meromorphic function of order less than one. The authors prove that the exact difference Δf=fz+1-fz has infinitely many fixed points, if a∈ℂ and ∞ are Borel exceptional values (or Nevanlinna deficiency values) of f.
Zhaojun Wu, Hongyan Xu
doaj   +2 more sources

A Divided Difference Operator [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2013
We construct a divided difference operator using GKM theory. This generalizes the classical divided difference operator for the cohomology of the complete flag variety.
Nicholas Teff
doaj   +3 more sources

Coefficient stability of operator–difference schemes

open access: yesMathematical Modelling and Analysis, 1999
A priori estimates expressing continuous dependence of the solution of a first order evolutionary equation in Hubert space on initial condition, right hand side and operator perturbations are obtained in time–integral norms.
P. P. Matus, B. S. Jovanović
doaj   +5 more sources

Critical cases in neutral functional differential equations, arising from hydraulic engineering [PDF]

open access: yesOpuscula Mathematica, 2022
This paper starts from several applications described by initial/boundary value problems for \(1D\) (time and one space variable) hyperbolic partial differential equations whose basic properties and stability of equilibria are studied throughout the same
Vladimir Răsvan
doaj   +1 more source

Phase-difference operator [PDF]

open access: yesPhysical Review A, 1993
We introduce a unitary operator representing the exponential of the phase difference between two modes of the electromagnetic field. The eigenvalue spectrum has a discrete character that is fully analyzed. We relate this operator with a suitable polar decomposition of the Stokes parameters of the field, obtaining a natural classical limit. The cases of
Luis Aina, Alfredo   +1 more
openaire   +4 more sources

Chaotic finite difference operators

open access: yesChaos: An Interdisciplinary Journal of Nonlinear Science, 2023
In this article, we analyze the chaotic behavior of finite difference operators associated with certain differential equations. Our examples range from numerical schemes for a birth-and-death model with proliferation to a class of second-order partial differential equations that includes the hyperbolic heat transfer equation, the telegraph equation ...
Marina Murillo-Arcila   +2 more
openaire   +5 more sources

On the fine spectra of the generalized difference operator $\Delta_{uv}$ over the sequence space $c_0$ [PDF]

open access: yesJournal of Mahani Mathematical Research, 2012
The main purpose of this paper is to detemine the fine spectrum of the generalized difference operator $\Delta_{uv}$ over the sequence space c0. These results are more general than the fine spectrum of the generalized difference operator $\Delta_{uv}$ of
Javad Fathi, Rahmatollah Lashkaripour
doaj   +1 more source

On substantial fractional difference operator

open access: yesAdvances in Difference Equations, 2020
In this article, new definitions of fractional substantial sum and difference operators are introduced. Some properties are established and used to generate a fixed point operator for an arbitrary real order substantial system with conditions involving ...
Syed Sabyel Haider, Mujeeb ur Rehman
doaj   +1 more source

On Λ-Fibonacci difference sequence spaces of fractional order

open access: yesDera Natung Government College Research Journal, 2021
In this article, we introduce -Fibonacci difference operator of fractional order  which is obtained by the composition of -Fibonacci matrix  and backward fractional difference operator  defined by  and introduce the sequence spaces  and  We give some ...
Taja Yaying
doaj   +1 more source

Upper Bound of Difference Operator on Some Matrix Domains

open access: yesJournal of Mathematical Sciences and Modelling, 2021
In this study, we investigate the norm of difference operator on some sequence spaces such as Hilbert and Cesaro matrix domains. Therefore the present study is a complement for those results obtained in [1].
Maryam Sinaei, Lotfollah Karimi
doaj   +1 more source

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