Asymptotic Behavior of Solutions to the Difference Equation Using the Second Differences of a Liapunov Function
Hamaya, Yoshihiro
Журнал:
Journal of Difference Equations and Applications
Дата:
2003
Аннотация:
We introduce the concept of the second Liapunov differences in difference equations and show that, in the autonomous case, the second variations can guarantee the existence of solutions tending to zero while others starting arbitrarily near 0 go to ∞. These are based on Yorke's results for ordinary differential equations.
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