Dynamics and general form of the solutions of rational difference equations
Journal of Mathematics and Computer ScienceThe main objective of this article is to find the general solution to some special cases of the fractional recursive equation% \[ \Psi_{n+1}=\frac{\alpha \Psi_{n-1}\Psi_{n-5}}{\Psi_{n-3}(\beta+\delta \Psi _{n}\Psi_{n-1}\Psi_{n-4}\Psi_{n-5})},~ n=0,1,2 ...
E. Elsayed +2 more
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Semi-periodic solutions of difference and differential equations
, 2012 The spaces of semi-periodic sequences and functions are examined in the relationship to the closely related notions of almost-periodicity, quasi-periodicity and periodicity.
J. Andres, D. Pennequin
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Bounded solutions of self-adjoint second order linear difference equations with periodic coeffients
Open Mathematics, 2018 In this work we obtain easy characterizations for the boundedness of the solutions of the discrete, self–adjoint, second order and linear unidimensional equations with periodic coefficients, including the analysis of the so-called discrete Mathieu ...
Encinas A.M., Jiménez M.J.
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Positive periodic solutions of neutral logistic difference equations with multiple delays
Electronic Journal of Differential Equations, 2007 Using a fixed point theorem of strict-set-contraction, we some established the existence of positive periodic solutions for the neutral logistic difference equation, with multiple delays, $$ Delta x(n)=x(n)Big[ a(n) -sum_{i=1}^{p}a_{i}(n) x(n-au_{i}(n))
Qian Chen, Yongkun Li
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Existence of Periodic and Subharmonic Solutions for Second-Order
Advances in Difference Equations, 2007 We obtain a sufficient condition for the existence of periodic and subharmonic solutions of second-order p-Laplacian difference equations using the critical point theory.
Chen Peng, Fang Hui
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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
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Existence of positive periodic solutions for a class of nonautonomous difference equations
Electronic Journal of Differential Equations, 2006 In this article, we investigate the existence of positive periodic solutions for a class of non-autonomous difference equations. Using the Krasnoselskii fixed point theorem, we establish sufficient criteria that are easily verifiable and that ...
Zhijun Zeng
doaj
On periodic linear neutral delay differential and difference equations
Electronic Journal of Differential Equations, 2006 This article concerns the behavior of the solutions to periodic linear neutral delay differential equations as well as to periodic linear neutral delay difference equations.
Christos G. Philos, Ioannis K. Purnaras
doaj
Solvability of boundary value problems for nonlinear functional difference equations
Le Matematiche, 2010 Sufficient conditions for the existence of solutions of the periodic and anti-periodic boundary value problems for nonlinear functional difference equations are established, respectively.
Yuji Liu
doaj
Some Applications of Bifurcation Formulae to the Period Maps of Delay Differential Equations [PDF]
, 2005 Our purpose is to present some applications of the bifurcation formulae derived in [13] for periodic delay differential equations. We prove that a sequence of Neimark-Sacker bifurcations occurs as the parameter increases.
Röst, Gergely
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