Periodic Solutions for a System of Difference Equations [PDF]
Discrete Dynamics in Nature and Society, 2009 This paper deals with the second-order nonlinear systems of difference equations, we obtain the existence theorems of periodic solutions. The theorems are proved by using critical point theory.
Shugui Kang, Bao Shi
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Periodic solutions of nonlinear vector difference equations [PDF]
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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Existence of Periodic Positive Solutions for Abstract Difference Equations [PDF]
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 and Almost Periodic Solutions of Functional Difference Equations with Finite Delay [PDF]
Advances in Difference Equations, 2007 For periodic and almost periodic functional difference equations with finite delay, the existence of periodic and almost periodic solutions is obtained by using stability properties of a bounded solution.
Yihong Song
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Periodic Solutions of a System of Nonlinear Difference Equations with Periodic Coefficients
Journal of Mathematics, 2020 This paper is dealt with the following system of difference equations xn+1=an/xn+bn/yn,yn+1=cn/xn+dn/yn, where n∈ℕ0=ℕ∪0, the initial values x0 and y0 are the positive real numbers, and the sequences ann≥0, bnn≥0, cnn≥0, and dnn≥0 are two-periodic and ...
Durhasan Turgut Tollu
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Two periodic solutions of neutral difference equations modelling physiological processes [PDF]
Discrete Dynamics in Nature and Society, 2006 We establish existence, multiplicity, and nonexistence of periodic solutions for a class of first-order neutral difference equations modelling physiological processes and conditions. Our approach is based on a fixed point theorem in cones as well as some
Jun Wu, Yicheng Liu
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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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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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The Periodic Solutions of a Class of Difference Equations
Journal of Mathematics, 2022 In this paper, we study the periodic solutions of a class of difference equations and give a necessary and sufficient condition under which the nonnegative solutions of the equation converge to a 2k-periodic solution by using relevant theoretical ...
Qi Wang, Weiling You, Gengrong Zhang
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Periodic solutions of nonlinear second-order difference equations
Advances in Difference Equations, 2005 We establish conditions for the existence of periodic solutions of nonlinear, second-order difference equations of the form y(t+2)+by(t+1)+cy(t)=f(y(t)), where c≠0 and f:â„Â→℠is continuous.
Debra Lynn Etheridge +1 more
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