Weighted Asymptotically Periodic Solutions of Linear Volterra Difference Equations
Abstract and Applied Analysis, 2011 A linear Volterra difference equation of the form x(n+1)=a(n)+b(n)x(n)+∑i=0nK(n,i)x(i), where x:N0→R, a:N0→R, K:N0×N0→R and b:N0→R∖{0} is ω-periodic, is considered.
Josef Diblík +3 more
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On the Periodicity of Solutions of the System of Rational Difference Equations
Applied Mathematics, 2011 In this paper, we have investigated the periodicity of the solutions of the system of difference equations , where .
ÇİNAR, CENGİZ +2 more
openaire +3 more sources
Periodic solutions of second order nonlinear functional difference equations [PDF]
, 2007 summary:Sufficient conditions for the existence of at least one $T-$periodic solution of second order nonlinear functional difference equations are established.
Liu, Yuji
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Existence of Periodic Positive Solutions for Abstract Difference Equations
Discrete Dynamics in Nature and Society, 2011 We will consider the existence of multiple positive periodic solutions for a class of abstract difference equations by using the well-known fixed point theorem (due to Krasnoselskii).
Shugui Kang, Yaqiong Cui, Jianmin Guo
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Periodic solutions of nonlinear vector difference equations
Advances in Difference Equations, 2006 Essentially nonlinear difference equations in a Euclidean space are considered. Conditions for the existence of periodic solutions and solution estimates are derived.
Gil' MI
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Positive Periodic Solutions of Nonlinear First-Order Functional Difference Equations
Discrete Dynamics in Nature and Society, 2010 We consider the existence, multiplicity, and nonexistence of positive T-periodic solutions for the difference equations Δx(n)=a(n)g(x(n))x(n)-λb(n)f(x(n-τ(n))), and Δx(n)+a(n)g(x(n))x(n)=λb(n)f(x(n-τ(n))), where a,b:ℤ→[0,∞) are T-periodic, τ:ℤ→ℤ is T ...
Ruyun Ma, Tianlan Chen, Yanqiong Lu
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On solutions of three-dimensional system of difference equations with constant coefficients
Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics, 2023 In this study, we show that the system of difference equations \begin{align} x_{n}=\frac{x_{n-2}y_{n-3}}{y_{n-1}\left(a+bx_{n-2}y_{n-3} \right) }, \nonumber \\ y_{n}=\frac{y_{n-2}z_{n-3}}{z_{n-1}\left(c+dy_{n-2}z_{n-3} \right) },~n\in\mathbb{N}_{0}, ~ \
Merve Kara, Ömer Aktaş
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Spectral continuation study of the temporally periodic solitons of the damped-driven nonlinear Schrödinger equations [PDF]
, 2012 Includes abstract.Includes bibliographical references.In this thesis we develop and employ a spectral continuation algorithm, implemented in AUTO, to study the temporally periodic spatially localised soliton solutions of the driven, damped nonlinear ...
Lee-Thorpe, James
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On the Periodic Solutions of Some Systems of Difference Equations
Communications in Advanced Mathematical Sciences, 2018 In this paper, we study the solution of the systems of difference equations \begin{equation*} x_{n+1}=\frac{1\pm (y_{n}+x_{n-1})}{y_{n-2}},\ \ \ y_{n+1}=\frac{1\pm (x_{n}+y_{n-1})}{x_{n-2}},\;\;n=0,1,..., \end{equation*}% {\Large \noindent }where the ...
E. M. Elsayed, H. S. Gafel
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Solvability and Dynamical Analysis of Difference Equations
International Journal of Analysis and Applications, 2023 We obtain symmetries of a family of difference equations and we prove a relationship between these symmetries and similarity variables. We proceed with reduction and eventually derive formula solutions of the difference equations. Furthermore, we discuss
Mensah Folly-Gbetoula
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