科研之友
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摘要
The (almost) 1-cover lifting property of omega-limit sets is established for non-monotone skew-product semiflows, which are comparable with the uniformly stable and eventually strongly monotone skew-product semiflows. These results are then applied to study the asymptotic behaviour of solutions to the non-monotone comparable systems of ordinary differential equations, reaction-diffusion systems, differential systems with time delays and semilinear parabolic equations.
