Results 21 to 30 of about 1,127 (130)
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
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
Boundary value problems of a discrete generalized beam equation via variational methods
Open Mathematics, 2018 The authors explore the boundary value problems of a discrete generalized beam equation. Using the critical point theory, some sufficient conditions for the existence of the solutions are obtained.
Liu Xia, Zhou Tao, Shi Haiping
doaj +1 more source
Fixed Points of Meromorphic Functions and Their Higher Order Differences and Shifts
Open Mathematics, 2019 In this paper, we investigate the relationships between fixed points of meromorphic functions, and their higher order differences and shifts, and generalize the case of fixed points into the more general case for first order difference and shift ...
Chen Hai-Ying, Zheng Xiu-Min
doaj +1 more source
$N$-Bright-Dark Soliton Solution to a Semi-Discrete Vector Nonlinear Schr\"odinger Equation [PDF]
, 2017 In this paper, a general bright-dark soliton solution in the form of Pfaffian is constructed for an integrable semi-discrete vector NLS equation via Hirota's bilinear method.
Feng, Bao-Feng, Ohta, Yasuhiro
core +3 more sources
Subdominant positive solutions of the discrete equation Δu(k + n) = −p(k)u(k)
Abstract and Applied Analysis, Volume 2004, Issue 6, Page 461-470, 2004., 2004 A delayed discrete equation Δu(k + n) = −p(k)u(k) with positive coefficient p is considered. Sufficient conditions with respect to p are formulated in order to guarantee the existence of positive solutions if k → ∞. As a tool of the proof of corresponding result, the method described in the author′s previous papers is used.
Jaromír Baštinec, Josef Diblík
wiley +1 more source
Systems of the Kowalevski type and discriminantly separable polynomials [PDF]
, 2013 Starting from the notion of discriminantly separable polynomials of degree two in each of three variables, we construct a class of integrable dynamical systems.
Dragovic, Vladimir, Kukic, Katarina
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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
Positive solutions for singular discrete boundary value problems
Abstract and Applied Analysis, Volume 2004, Issue 4, Page 271-283, 2004., 2004 We study the existence of zero‐convergent solutions for the second‐order nonlinear difference equation Δ(anΦp(Δxn)) = g(n, xn+1), where Φp(u) = |u|p−2u, p > 1,{an} is a positive real sequence for n ≥ 1, and g is a positive continuous function on ℕ × (0, u0), 0 < u0 ≤ ∞. The effects of singular nonlinearities and of the forcing term are treated as well.
Mariella Cecchi +2 more
wiley +1 more source
Spectral Analysis of Certain Schr\"odinger Operators [PDF]
, 2012 The $J$-matrix method is extended to difference and $q$-difference operators and is applied to several explicit differential, difference, $q$-difference and second order Askey-Wilson type operators. The spectrum and the spectral measures are discussed in
Ismail, Mourad E. H., Koelink, Erik
core +6 more sources