Results 31 to 40 of about 546 (157)
On a difference equation with min‐max response
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 55, Page 2915-2926, 2004., 2004 We investigate the global behavior of the (positive) solutions of the difference equation xn+1 = αn + F(xn, …, xn−k), n = 0, 1, …, where (αn) is a sequence of positive reals and F is a min‐max function in the sense introduced here. Our results extend several results obtained in the literature.
George L. Karakostas, Stevo Stević
wiley +1 more source
On Friedrichs-type inequalities in domains rarely perforated along the boundary [PDF]
, 2011 This article is devoted to the Friedrichs inequality, where the domain is periodically perforated along the boundary. It is assumed that the functions satisfy homogeneous Neumann boundary conditions on the outer boundary and that they vanish on the ...
Lars-Erik Persson +5 more
core +1 more source
New Oscillation Criteria for Third Order Nonlinear Neutral Delay Difference Equations with Distributed Deviating Arguments [PDF]
, 2014 2010 Mathematics Subject Classification: 39A10 ...
Elabbasy, E. M. +2 more
core +1 more source
Dynamics of a discrete Lotka-Volterra model
Advances in Differential Equations, 2013 In this paper, we study the equilibrium points, local asymptotic stability of equilibrium points, and global behavior of equilibrium points of a discrete Lotka-Volterra model given by xn+1=αxn−βxnyn1+γxn,yn+1=δyn+ϵxnyn1+ηyn, where parameters α,β,γ,δ,ϵ ...
Qamar Din
semanticscholar +1 more source
Discrete Dynamics in Nature and Society, Volume 2004, Issue 2, Page 325-343, 2004., 2004 The existence of positive periodic solutions for a delayed discrete predator‐prey model with Holling‐type‐III functional response N1(k+1)=N1(k)exp{b1(k)-a1(k)N1(k-[τ1])-α1(k)N1(k)N2(k)/(N12(k)+m2N22(k))}, N2(k+1)=N2(k)exp{-b2(k)+α2(k)N12(k-[τ2])/(N12(k-[τ2])+m2N22(k-[τ2]))} is established by using the coincidence degree theory.
Lin-Lin Wang, Wan-Tong Li
wiley +1 more source
Open Mathematics, 2016 In this paper, we investigate the value distribution of meromorphic solutions of homogeneous and non-homogeneous complex linear differential-difference equations, and obtain the results on the relations between the order of the solutions and the ...
Luo Li-Qin, Zheng Xiu-Min
doaj +1 more source
Uniqueness on entire functions and their nth order exact differences with two shared values
Open Mathematics, 2020 Let f(z) be an entire function of hyper order strictly less than 1. We prove that if f(z) and its nth exact difference Δcnf(z){\Delta }_{c}^{n}f(z) share 0 CM and 1 IM, then Δcnf(z)≡f(z){\Delta }_{c}^{n}f(z)\equiv f(z).
Chen Shengjiang, Xu Aizhu
doaj +1 more source
Nonlinear Volterra difference equations in space lp
Discrete Dynamics in Nature and Society, Volume 2004, Issue 2, Page 301-306, 2004., 2004 We consider a class of vector nonlinear discrete‐time Volterra equations in space lp and derive estimates for the norms of solutions. These estimates give us explicit stability conditions, which allow us to avoid finding Lyapunov functionals.
Michael I. Gil′, Rigoberto Medina
wiley +1 more source
Basins of Attraction of Period-Two Solutions of Monotone Difference Equations [PDF]
, 2016 We investigate the global character of the difference equation of the form xn+1 = f (xn, xn–1), n = 0,1, . . . with several period-two solutions, where f is increasing in all its variables.
Kulenovic, Mustafa +5 more
core +1 more source
Basins of Attraction of Equilibrium Points of Monotone Difference Equations
Sarajevo Journal of MathematicsWe investigate the global character of the difference equation of the form $$ x_{n+1} = f(x_n, x_{n-1},\ldots, x_{n-k+1}), \quadn=0,1, \ldots $$ with several equilibrium points, where $f$ is increasing in all its variables.
A. Brett, M. Kulenović
semanticscholar +1 more source