Dynamics and Solutions of Higher-Order Difference Equations
Mathematics, 2023 The invariance method, known as Lie analysis, consists of finding a group of transformations that leave a difference equation invariant. This powerful tool permits one to lower the order, linearize and more importantly, obtain analytical solutions of ...
Mensah Folly-Gbetoula
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The periodicity and solutions of the rational difference equation with periodic coefficients
Computers & Mathematics with Applications, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Taskara, N., Uslu, K., Tollu, D. T.
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Periodic solutions for a coupled pair of delay difference equations
Advances in Difference Equations, 2005 Based on the fixed-point index theory for a Banach space, positive periodic solutions are found for a system of delay difference equations. By using such results, the existence of nontrivial periodic solutions for delay difference equations with positive
Sui Sun Cheng +2 more
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On the Periodicity of General Class of Difference Equations
Axioms, 2020 In this paper, we are interested in studying the periodic behavior of solutions of nonlinear difference equations. We used a new method to find the necessary and sufficient conditions for the existence of periodic solutions.
Osama Moaaz, Hamida Mahjoub, Ali Muhib
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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
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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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Existence Theorems of Periodic Solutions for Second-Order Nonlinear Difference Equations
Advances in Difference Equations, 2008 The authors consider the second-order nonlinear difference equation of the type using critical point theory, and they obtain some new results on the existence of periodic solutions.
Yu Jianshe, Cai Xiaochun
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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. Our main tool is a combined usage of the recent estimates for matrix-valued functions
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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