Results 11 to 20 of about 166,195,107 (213)
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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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 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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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 ...
Tai-Shan Yi, Zhan Zhou
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Almost periodic and periodic solutions of difference equations [PDF]
Bulletin of the American Mathematical Society, 1966 I t is easy to see that for every point (y, N) in WXI there is a solution (n) of (1) that satisfies (N) =y.
G. Sell
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Periodic solutions of whole line difference equations,
, 2004 Periodicity of the solutions of whole line difference equations is investigated. The considered equations is linear and of convolution type. The expression of the solution by means of a periodic resolvent kernel is given.
Crisci MR, Russo E, Vecchio A
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Numerical methods for ordinary differential equations with applications to partial differential equations [PDF]
, 1983 This thesis was submitted for the degree of Doctor of Philosophy and awarded by Brunel University.The thesis develops a number of algorithms for the numerical solution of ordinary differential equations with applications to partial differential equations.
Khaliq, Abdul Qayyum Masud
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Periodic solutions of difference equations with general periodicity
Computers & Mathematics with Applications, 2001 The authors discuss the continuous difference equation \[ x(t+1)= f\bigl(x(t)\bigr)+ \varepsilon g\bigl(t,x(t), x(t+1)\bigr),\tag{1} \] where \(f\) and \(g\) are given continuous functions and \(\varepsilon >0\) is a parameter. The function \(g\) is \(m\)-periodic in \(t\) and \(m\) may be not equal to the period of the cycle of \(f\) (a set ...
R. Agarwal, Weinian Zhang
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Multiplicity of periodic solutions in bistable equations [PDF]
, 2006 We study the number of periodic solutions in two first-order non-autonomous differential equations, both of which have been used to describe, among other things, the mean magnetization of an Ising magnet in a time-varying external magnetic field.
Grinfeld, Michael, Berkolaiko, Gregory
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Collocation schemes for periodic solutions of neutral delay differential equations [PDF]
, 2005 We introduce two collocation schemes for the computation of periodic solutions of neutral delay differential equations (NDDEs): one based on a direct discretisation of the underlying NDDE, and one based on a discretisation of a related delay differential
Wilson, RE +8 more
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