Results 61 to 70 of about 166,195,107 (213)
On the periodic nature of some max-type difference equations
We study some qualitative behavior of solutions of some max-type difference equations with periodic coefficients. Some new results of the periodicity character of solutions of that type of difference equations will be established.
E. M. Elabbasy +2 more
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: In this article, we establish sufficient conditions for the existence of periodic solutions of a nonlinear infinite delay Volterra difference equation: We employ a Krasnosel’skiĭ type fixed point theorem, originally proved by Burton.
P. Eloe, J. Jonnalagadda, Y. Raffoul
semanticscholar +1 more source
solutions of period three for a non-linear difference equation [PDF]
AbstractThe paper uses the factorisation method to discuss solutions of period three for the difference equationwhich has been proposed as a simple mathematical model for the effect of frequency dependent selection in genetics. Numerical values are obtained for the critical values of a at which solutions of period three first appear.
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Linear difference equations, frieze patterns, and the combinatorial Gale transform
We study the space of linear difference equations with periodic coefficients and (anti)periodic solutions. We show that this space is isomorphic to the space of tame frieze patterns and closely related to the moduli space of configurations of points in ...
SOPHIE MORIER-GENOUD +3 more
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Periodic solutions of non linear differential difference equations [PDF]
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On solving discrete-time periodic Riccati equations [PDF]
Two numerically reliable algorithms to compute the periodic nonnegative definite stabilizing solution ofdiscrete-time periodic Riccati equations are proposed.
A. Varga, Varga, Andras
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Periodic solutions of neutral difference equations
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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On solving periodic differential matrix equations with applications to periodic system norms computation [PDF]
Periodic Lyapunov, Sylvester and Riccati differ- ential equations have many important applications in the analysis and design of linear periodic control systems.
Varga, Andreas
core
On the asymptotically periodic solution of some linear difference equations [PDF]
summary:For the linear difference equation \[ x_{n+1} -a_n x_n = \sum _{i=0}^r a_n^{(i)}x_{n+i}, \;\;\; n \in N \] sufficient conditions for the existence of an asymptotically periodic solutions are ...
Schmeidel, Ewa, Popenda, Jerzy
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The Periodic Solutions of Nonlinear Differential Difference Equations
The existence of slowly oscillating periodic solutions and rapidly oscillating solutions to a class of differential difference equations is considered. Sufficient conditions under which the equations have at least \(N\) or an infinite number of nonconstant periodic solutions are established. For example, it is shown that if \(ah > {\pi \over 2}\), then
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