Results 21 to 30 of about 166,195,107 (213)
Exact solitary and periodic-wave solutions of the K(2,2) equation (defocusing branch) [PDF]
An auxiliary elliptic equation method is presented for constructing exact solitary and periodic travelling-wave solutions of the K(2, 2) equation (defocusing branch). Some known results in the literature are recovered more efficiently, and some new exact
Cao, J. +4 more
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On solving periodic Riccati equations [PDF]
Numerically reliable algorithms to compute the periodic non-negative definite stabilizing solutions of the periodic differential Riccati equation (PRDE) and discrete-time periodic Riccati equation (DPRE) are proposed. For the numerical solution of PRDEs,
A. Varga, Varga, Andreas
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Periodic solutions of periodic difference equations
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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Higher-order finite-difference methods for partial differential equations [PDF]
This thesis was submitted for the degree of Doctor of Philosophy and awarded by Brunel University.This thesis develops two families of numerical methods, based upon rational approximations having distinct real poles, for solving first- and second-order ...
Cheema, Tasleem Akhter
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The periodicity and solutions of the rational difference equation with periodic coefficients
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Taskara, N., Uslu, K., Tollu, D. T.
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Periodic solutions for a coupled pair of delay difference equations
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 asymptotically periodic solutions of linear discrete Volterra equations [PDF]
We show that a class of linear nonconvolution discrete Volterra equations has asymptotically periodic solutions. We also examine an example for which the calculations can be done explicitly.
Győri, István, Reynolds, David W.
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On the Periodicity of General Class of Difference Equations
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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Stable periodic solutions of difference equations
The authors consider the difference equation \[ x(t+1)= f\bigl(x(t)\bigr)+ \varepsilon g\bigl(t,x(t), x(t+1)\bigr),\;t\geq 0, \] where \(f\) and \(g\) are continuous functions and \(\varepsilon\) is sufficiently small. The function \(f\) has an attracting cycle of length \(n\) and \(g\) is 1-periodic in \(t\). Under further conditions the existence of \
R. Agarwal, E. Romanenko
semanticscholar +3 more sources
Existence Theorems of Periodic Solutions for Second-Order Nonlinear Difference Equations
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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