Results 11 to 20 of about 15,236 (250)
Journal of Harbin University of Science and Technology, 2019 Almost periodic solutions of differential equations are more general than periodic solutions, so almost periodic solutions will be studied on a class secondorder differential equations with piecewise constant argument.
YAO Hui-li +2 more
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Periodic solutions of difference equations
Journal of Mathematical Analysis and Applications, 2003 For the difference equation \(x_{n+1}=\beta x_n- g(x_n)\) with \(\beta> 1\) and \(g(x)= \text{sign\,}x\) for \(x\neq 0\), \(g(0)= 1\), it is shown: For any \(m\in \mathbb{N}_0\) it has a \(2^m\)-periodic solution. If \(\beta^{2^m(2k+1)}- 2\beta^{2^m(2k-1)}\geq 1\) for \(k\in \mathbb{N}\) and some \(m\in\mathbb{N}\) it has a \((2k+1)2^m\)-periodic ...
Yi, Taishan, Zhou, Zhan
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Periodic solutions of periodic difference equations
Advanced Studies in Pure Mathematics, 2019 In this paper, we discuss the existence of periodic solutions of the periodic difference equation $$ x(n + 1) = f(n, x(n)),\ \ n \in \mathbf{Z} $$ and the periodic difference equation with finite delay $$ x(n + 1) = f(n, x_n),\ \ n \in \mathbf{Z}, $$ where $x$ and $f$ are $d$-vectors, and $\mathbf{Z}$ denotes the set of integers.
Furumochi, Tetsuo, Muraoka, Masato
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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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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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Periodic solutions of non linear differential difference equations [PDF]
ZAMP Zeitschrift f�r angewandte Mathematik und Physik, 1991 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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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Periodic solutions of neutral difference equations
Computers & Mathematics with Applications, 2003 The authors consider ``neutral'' difference equations \[ \triangle(D(n,x_n))=f(n,x_n) \] with finite and infinite delays. Here \(D\) and \(f\) are defined on some subsets of \({\mathbb Z}\times C \rightarrow {\mathbb R}^k\), \(x_n=x(n+s)\) where both \(n\) and \(s\) are integers, \(-r\leq s\leq 0\) and \(C\) is the space of finite \({\mathbb R}^k ...
Zhang, Shunian, Li, Wan-Tong
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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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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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