Results 61 to 70 of about 649,859 (305)

Necessary and Sufficient Conditions for the Existence of Rational Solutions to Homogeneous Difference Equations with Constant Coefficients

open access: yesИзвестия Иркутского государственного университета: Серия "Математика"
A necessary and a sufficient condition for solvability of homogeneous difference equations with constant coefficients in the class of rational functions are obtained. The necessary condition is a restriction on the Newton polyhedron of the characteristic
P. V. Trishin
doaj   +1 more source

On the Global of the Difference Equation ${x_{n+1}}=\frac{{\alpha {x_{n-m}+\eta {x_{n-k}}+}}\delta {{x_{n}}}}{{\beta +\gamma {x_{n-k}}{x_{n-l}}\left( {{x_{n-k}}+{x_{n-l}}}\right) }}$

open access: yesCommunications in Advanced Mathematical Sciences, 2022
In this article, we consider and discuss some properties of the positive solutions to the following rational nonlinear DE ${x_{n+1}}=\frac{{\alpha { x_{n-m}+\eta {x_{n-k}}+}}\delta {{x_{n}}}}{{\beta +\gamma {x_{n-k}}{x_{n-l}} \left( {{x_{n-k}}+{x_{n-l}}}\
Mohamed Abd El-moneam
doaj   +1 more source

Tangle analysis of difference topology experiments: applications to a Mu protein-DNA complex

open access: yes, 2007
We develop topological methods for analyzing difference topology experiments involving 3-string tangles. Difference topology is a novel technique used to unveil the structure of stable protein-DNA complexes involving two or more DNA segments.
Arsuaga   +19 more
core   +1 more source

The McCance Brain Care Score and Mortality: Evidence From a Large‐Scale Population‐Based Cohort

open access: yesAnnals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objectives This study aimed to examine the relationship between the McCance Brain Care Score (BCS) and mortality in the general population. Methods We conducted a prospective, population‐based cohort study using data from the UK Biobank. Participants with complete data enabling calculation of BCS and full mortality information were included ...
Zhiqiang Xu, Xiaoxiao Wang, Nan Li
wiley   +1 more source

Solutions Of The Rational Difference Equations X(n+1)=x(n-3)/(1+x(n)x(n-1)x(n-2))

open access: yesMANAS: Journal of Engineering, 2016
In this paper a solution of the following of difference equations is examined, X(n 1)=x(n-3)/(1 x(n)x(n-1)x(n-2)) (1)where the initial conditions are positive real numbers.
D. Şimşek, M. Eröz
doaj  

Holistic projection of initial conditions onto a finite difference approximation

open access: yes, 2001
Modern dynamical systems theory has previously had little to say about finite difference and finite element approximations of partial differential equations (Archilla, 1998).
A.J Roberts   +4 more
core   +1 more source

Real‐World Performance of CSF Kappa Free Light Chains in the 2024 McDonald Criteria

open access: yesAnnals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Kappa free light chains (KFLCs) in the cerebrospinal fluid (CSF) have a similar performance to CSF‐restricted oligoclonal bands (OCB) for multiple sclerosis (MS) diagnosis. To help with implementation, we set out to resolve several remaining uncertainties: (1) performance in a real‐world cohort and the 2024 McDonald criteria; (2 ...
Maya M. Leibowitz   +11 more
wiley   +1 more source

Existence of rational solutions for q-difference Painleve equations

open access: yesElectronic Journal of Differential Equations, 2020
This article studies properties of meromorphic solutions for several types of q-difference Painleve equations. We obtain conditions for the existence, and the form of rational solutions for two classes of q-difference Painleve equations.
Hong Yan Xu, Jin Tu
doaj  

Exact Solutions for Nonlinear Differential Difference Equations in Mathematical Physics

open access: yesAbstract and Applied Analysis, 2013
We modified the truncated expansion method to construct the exact solutions for some nonlinear differential difference equations in mathematical physics via the general lattice equation, the discrete nonlinear Schrodinger with a saturable nonlinearity ...
Khaled A. Gepreel   +2 more
doaj   +1 more source

Stability analysis of a system of second order rational difference equations [PDF]

open access: yesComputational Ecology and Software, 2020
In this paper we consider a system of second order rational difference equations. We mainly discuss the boundedness and persistence, existence of fixed point, and uniqueness of positive fixed point, local and global behavior of positive fixed point and ...
Muhammad Salman Khan   +3 more
doaj  

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