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Large time behavior and Lyapunov functionals for a nonlocal differential equation
Hilhorst, Danielle,Laurenç,ot, Philippe,Nguyen, Thanh-Nam Springer-Verlag 2016 Nonlinear differential equations and applications Vol.23 No.3
<P>A new approach is used to describe the large time behavior of the nonlocal differential equation initially studied in T.-N. Nguyen (On the omega-limit set of a nonlocal differential equation: application of rearrangement theory. Differ. Integr. Equ. arXiv:1601.06491, 2016). Our approach is based upon the existence of infinitely many Lyapunov functionals and allows us to extend the analysis performed in T.-N. Nguyen (On the omega-limit set of a nonlocal differential equation: application of rearrangement theory. Differ. Integr. Equ. arXiv:1601.06491, 2016).</P>