Results 221 to 230 of about 15,821 (256)

Nonexistence of periodic solutions and S-asymptotically periodic solutions in fractional difference equations

Applied Mathematics and Computation, 2015
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Josef Diblík, Michal Feckan, Martin Pospísil   +2 more
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On the Existence of Periodic Solutions of Nonlinear Difference Equations

Ukrainian Mathematical Journal, 2002
The author considers the difference equation \[ x(t+1)=f(t,x(t)),\tag{1} \] where \(t\in \mathbb R, f\in C(\mathbb R\times \mathbb R \mapsto \mathbb R)\). In addition it is assumed that \(f(t,x)\) is \(N\)-periodic in \(t\) (\(N\in \mathbb N\)) and satisfies the condition \(|f(t,x)-f(t,y)|\leq\omega(t)|x-y|\) with \(N\)-periodic positive function ...
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Bifurcation of Almost Periodic Solutions in a Difference Equation

Journal of Difference Equations and Applications, 2004
Our aim in this paper is almost periodic solutions (ap-solutions) originating from an equilibrium state when the parameters of the difference equation are varied. We consider the bifurcation of ap-solutions for an ap-difference equation with parameters of x_{n + 1} = f(n,x_{n}; \mgreek{m} ), using the Green's function for regular ap-operators and Σ ...
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On the periodicity of solutions of max‐type difference equation

Mathematical Methods in the Applied Sciences, 2014
This paper is devoted to study the periodic nature of the solution of the following max‐type difference equation: urn:x-wiley:mma:media:mma3296:mma3296-math-0162 where the initial conditions x−2,x−1,x0 are arbitrary positive real numbers and is a periodic sequence of period two. Copyright © 2014 John Wiley & Sons, Ltd.
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Periodic solutions of the rational difference equation

Journal of Difference Equations and Applications, 2006
This paper studies the behavior of positive solutions of the recursive equation with We prove that every positive solution {y i } converges to a period two solution or to the equilibrium . This result answers Open Problem 11.4.8 (a) in Kulenovic and Ladas, 2002 Dynamics of Second Order Rational Difference Equations.
Kenneth S. Berenhaut, Jennifer E. Dice, John D. Foley, Bratislav Iričanin, Stevo Stević   +4 more
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Periodic solutions of a perturbed difference equation

Applicable Analysis, 2000
Existence theorems are obtained for the periodic solutions of a perturbed difference equation xk+1 = Axk+Fk(xk), where is a T periodic sequence of continuous mappings.
Michael I. Gil', Sui Sun Cheng, A. Halanay   +2 more
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Periodic solutions of difference-differential equations

Archive for Rational Mechanics and Analysis, 1977
The existence theorem of R. Nussbaum for periodic solutions of difference-differential equations is generalized to equations with a damping term. The study of such equations is motivated by recent theories of neural interactions in certain compound eyes.
Hadeler, K. P., Tomiuk, J.
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Periodic and Almost Periodic Solutions of Difference Equations in Metric Spaces

Journal of Mathematical Sciences, 2016
The author considers two definitions of almost periodic operators on metric spaces and discusses the difference equation \[ Fx = h, \] where \(h\) is almost periodic on some metric space and \(F\) belongs to the class of shift almost periodic operators on that metric space. He discusses the existence of an almost periodic solution of the aforementioned
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Periodic solutions of whole line difference equations,

2004
Periodicity of the solutions of whole line difference equations is investigated. The considered equations is linear and of convolution type. The expression of the solution by means of a periodic resolvent kernel is given.
Crisci MR, Russo E, Vecchio A
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Periodicity of the solution of difference equation

AIP Conference Proceedings, 2018
A. M. Alotaibi, M. S. M. Noorani, M. A. El-Moneam   +2 more
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