On the Trichotomy Character of
Chatterjee, E.; Grove, E.A.; Kostrov, Y.; Ladas, G.
Журнал:
Journal of Difference Equations and Applications
Дата:
2003
Аннотация:
We investigate the global stability, the periodic character, and the boundedness nature of the solutions of the difference equation where the parameters α, γ, A, B and the initial conditions x <sup>-2</sup>, x <sup>-1</sup>, x <sup>0</sup> are non-negative real numbers. We show that the solutions of the equation exhibit a trichotomy character which depends upon whether γ is less than A, equal to A, or greater than A.
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