Results 51 to 60 of about 166,195,107 (213)
Eventually Periodic Solutions of a Max-Type System of Difference Equations of Higher Order
, 2018 We study in this paper the following max-type system of difference equations of higher order: and , , where , , and the initial conditions . We show that if , then every solution of the above system is periodic with period eventually.
Guang-Wang Su, T. Sun, Bin Qin
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On the periodic solutions of some systems of higher order difference equations
Rocky Mountain Journal of Mathematics, 2018 In this paper, we obtain the general form of the periodic solutions of some higher order difference equations system xn+1 = ±xn−kyn−(2k+1) yn−(2k+1) ∓ yn−k , yn+1 = ±yn−kxn−(2k+1) xn−(2k+1) ∓ xn−k , n, k ∈ N0, where the initial values are arbitrary real ...
Melih Gocen, Adem Cebeci
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Equations for periodic solutions of a logistic difference equation [PDF]
The Journal of the Australian Mathematical Society. Series B. Applied Mathematics, 1981 AbstractThe paper is concerned with periodic solutions of the difference equation un + 1 = 2aun, where a and b are constants, with and b > 0. A new method is developed for dealing with this problem and, for period lengths up to 6, polynomial equations are given which allow the periodic solutions to be determined in a precise and practical manner ...
openaire +2 more sources
Advances in Differential Equations, 2019 In this paper we introduce the class of (N,λ)$(N,\lambda )$-periodic vector-valued sequences and show several notable properties of this new class. This class includes periodic, anti-periodic, Bloch and unbounded sequences.
E. Alvarez, S. Díaz, C. Lizama
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Periodic Solutions of a System of Complex ODEs. II. Higher Periods [PDF]
, 2002 In a previous paper the real evolution of the system of ODEs ¨zn + zn = N m=1, m=n gnm(zn - zm) -3 , zn zn(t), zn dzn(t) dt , n = 1, . . . , N is discussed in CN , namely the N dependent variables zn, as well as the N(N - 1) (arbitrary!) "coupling ...
Calogero, Francesco, Sommacal, Matteo
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Advances in Difference Equations, 2005 We prove that if there exists α≤β, a pair of lower and upper solutions of the first-order discrete periodic problem Δu(n)=f(n,u(n));n∈IN≡{0,…,N−1},u(0)=u(N), with f a continuous N-periodic function in its first variable ...
Dolores Rodríguez-Vivero +2 more
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Discrete Dynamics in Nature and Society, 2008 For nonlinear difference equations of the form xn=F(n,xn−1,…,xn−m), it is usually difficult to find periodic solutions. In this paper, we consider a class of difference equations of the form xn=anxn−1+bnf(xn−k), where {an}, {bn} are periodic sequences ...
Chengmin Hou, Sui Sun Cheng
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Almost Periodic Solutions of Nonlinear Volterra Difference Equations with Unbounded Delay
Axioms, 2015 In order to obtain the conditions for the existence of periodic and almost periodic solutions of Volterra difference equations, \( x(n+1)=f(n,x(n))+\sum_{s=-\infty}^{n}F(n,s, {x(n+s)},x(n)) \), we consider certain stability properties, which are referred
Yoshihiro Hamaya +2 more
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Positive periodic solutions of nonlinear functional difference equations
Electronic Journal of Differential Equations, 2002 In this paper, we apply a cone theoretic fixed point theorem to obtain sufficient conditions for the existence of multiple positive periodic solutions to the nonlinear functional difference equations $$ x(n+1)=a(n)x(n)pm lambda h(n) f(x(n-au(n))). $$
Youssef N. Raffoul
doaj
Algebraic Reduction and Periodic Solvability in a Coupled Ternary Rational System
MathematicsIn this paper, we investigate a new class of three-component nonlinear rational difference equations of the second order characterized by structured periodic interactions.
Ahmed Ghezal +2 more
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