A unified approach to the asymptotic almost-equivalence of evolution systems without Lipschitz conditions

作者：Alvarez Felipe; Peypouquet Juan^*

来源：Nonlinear Analysis-Theory Methods & Applications, 2011, 74(11): 3440-3444.

DOI：10.1016/j.na.2011.02.030

• Evolution systems
• Asymptotic behavior
• Almost-orbits
• Asymptotic almost-equivalence

We study the asymptotic behavior of almost-orbits of evolution systems in Banach spaces without any continuity assumptions on either the space or the time dependence. We establish, in a unified framework, standard convergence, ergodic convergence and almost-convergence of almost-orbits for both the weak and the strong topologies on the basis of the analogue behavior of orbits.

• 出版日期2011-7