Results 51 to 60 of about 5,158,783 (295)

Entire solutions for nonlinear differential-difference equations

Electronic Journal of Differential Equations, 2015
In this article, we study entire solutions of the nonlinear differential-difference equation $$ q(z)f^{n}(z)+a(z)f^{(k)}(z+1)=p_1(z)e^{q_1(z)}+p_2(z)e^{q_2(z)} $$ where $p_1(z)$, $p_2(z)$ are nonzero polynomials, $q_1(z)$, $q_2(z)$ are ...
Na Xu, Ting-Bin Cao, Kai Liu
doaj  

Symmetric nonlinear solvable system of difference equations

Electronic Journal of Qualitative Theory of Differential Equations
We show the theoretical solvability of the system of difference equations $$x_{n+k}=\frac{y_{n+l}y_n-cd}{y_{n+l}+y_n-c-d},\quad y_{n+k}=\frac{x_{n+l}x_n-cd}{x_{n+l}+x_n-c-d},\quad n\in\mathbb{N}_0,$$ where $k\in\mathbb{N}$, $l\in\mathbb{N}_0 ...
Stevo Stevic, Bratislav Iricanin, Witold Kosmala   +2 more
doaj   +1 more source

Frailty Predicts Incident Osteoporotic Fractures in Veterans with Rheumatoid Arthritis

Arthritis Care &Research, EarlyView.
Objective Rheumatoid arthritis (RA) is associated with an increased risk of frailty and osteoporosis, but the relationship between frailty and incident osteoporotic fractures in RA is underexplored. Methods Data were from the Veterans Affairs (VA) Rheumatoid Arthritis Registry. Frailty was measured using the VA Frailty Index (VAFI).
Katherine D. Wysham, Hannah F. Brubeck, Aaron Baraff, Punyasha Roul, Namrata Singh, James S. Andrews, Grant W. Cannon, Gary A. Kunkel, Ted R. Mikuls, Bryant R. England, Dolores M. Shoback, Patricia P. Katz, Jose M. Garcia, Ariela R. Orkaby, Joshua F. Baker   +14 more
wiley   +1 more source

On the System of Nonlinear Rational Difference Equations

, 2013
{"references": ["M.P. Hassell and H.N. Comins, Discrete time models for two-species\ncompetition, Theoretical Population Biology, Vol. 9, no. 2,1976, pp.\n202\u2013221.", "J.E. Franke and A.A. Yakubu, Mutual exclusion versus coexistence for\ndiscrete competitive Systems, Journal of Mathematical Biology, Vol.30,\nno. 2,1991, pp.
Qianhong Zhang, Wenzhuan Zhang
openaire   +14 more sources

Reduction and continuation theorems for Brouwer degree and applications to nonlinear difference equations [PDF]

Opuscula Mathematica, 2008
The aim of this note is to describe the continuation theorem of [J. Mawhin, Equivalence theorems for nonlinear operator equations and coincidence degree theory for some mappings in locally convex topological vector spaces, J.
Jean Mawhin
doaj  

Discrete and Continuous Multiplicative Differential Equations and Applications in Solving Non−Linear Difference and Differential Equations [PDF]

Sahand Communications in Mathematical Analysis
Boundary and initial value problems,  including nonlinear difference equations and nonlinear differential equations, are the mathematical models of many physics and engineering problems and natural phenomena.
Mohammad Jahanshahi, Nihan Aliev, Hamid Dehghani   +2 more
doaj   +1 more source

Development of a Disease Activity Index for the Assessment of VEXAS Syndrome (VEXAS‐DAI)

Arthritis Care &Research, EarlyView.
Objective Vacuoles, E1 enzyme, X‐linked, autoinflammatory, somatic syndrome (VEXAS) syndrome is characterized by a complex spectrum of inflammatory and hematologic manifestations. Clinical research to identify effective therapies is urgently needed but is hindered by the lack of validated outcome measures.
Kevin Byram, Heřman Mann, Danielle Hammond, Onima Chowdhury, Sinisa Savic, Yohei Kirino, Carmelo Gurnari, Maël Heiblig, Thibault Comont, Arsène Mekinian, Mrinal M. Patnaik, Lachelle D. Weeks, Gary Ho, Adam Al‐Hakim, Scott Goldberg, Marcela A. Ferrada, Sophie Georgin‐Lavialle, Peter C. Grayson, Emma M. Groarke, Bhavisha Patel, Megan Sullivan, Sarah A. Buckley, Bryan G. Harder, Raman Garcha, David B. Beck, Matthew J. Koster   +25 more
wiley   +1 more source

On variational methods for nonlinear difference equations

Journal of Computational and Applied Mathematics, 2010
The authors are motivated by the paper of \textit{Y. Yang} and \textit{Z. Zhang} [J. Math. Anal. Appl. 340, No. 1, 658--668 (2008; Zbl 1195.47047)] and investigate the existence of a solution of the finite-dimensional variational problem \(Au=\lambda f(u)\), where \(A\in {\mathbb R}^{N\times N}\) is a positive definite matrix and \(f=(f_1,\dots,f_N ...
Marek Galewski, Joanna Smejda
openaire   +3 more sources

On the Dynamics of Some Higher-Order Nonlinear Difference Equations

This research investigates the dynamics of higher-order nonlinear difference equations, specifically concentrating on seventh-order instances. Analytical solutions are obtained for particular equations, a formidable task owing to the absence of explicit ...
Md Rifat Hasan, Turki D. Alharbi
core   +1 more source

Asymptotic Stability Results for Nonlinear Fractional Difference Equations

Journal of Applied Mathematics, 2012
We present some results for the asymptotic stability of solutions for nonlinear fractional difference equations involvingRiemann-Liouville-likedifference operator.
Fulai Chen, Zhigang Liu
doaj   +1 more source