Titlebook: Difference Equations and Their Applications; A. N. Sharkovsky,Yu. L. Maistrenko,E. Yu. Romanenk Book 1993 Springer Science+Business Media

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Behavior of TrajectoriesWe call a dynamical system simple if each of its trajectories is periodic or asymptotically periodic.

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Completely Integrable Differential-Difference EquationsGenerally speaking, nonlinear differential-difference equations are not integrable in quadratures. Therefore, qualitative methods take on special importance for the investigathion of these equations. The main problem here is to study the asymptotic behavior and stability of solutions.

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Quantitative Organische Mikroanalyse(in a certain sense) the simplest ones. A map . ∈ .(.) is called unimodal if the interval . can be decomposed into the intervals . and . so that the map . is a homeomorphism both on . and ., and moreover, it monotonically increases on one of these intervals and monotonically decreases on the other o

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