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Large time behavior and Lyapunov functionals for a nonlocal differential equation

Nonlinear Differential Equations and Applications (2016) 23(3)
DOI: 10.1007/s00030-016-0383-0
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Abstract

A new approach is used to describe the large time behavior of the nonlocal differential equation initially studied in T.-N. Nguyen (On the ω-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 ω-limit set of a nonlocal differential equation: application of rearrangement theory. Differ. Integr. Equ. arXiv:1601.06491, 2016).

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Hilhorst, D., Laurençot, P., & Nguyen, T. N. (2016). Large time behavior and Lyapunov functionals for a nonlocal differential equation. Nonlinear Differential Equations and Applications, 23(3). https://doi.org/10.1007/s00030-016-0383-0

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