Asymptotic Behavior of Comparable Skew-product Semiflows with Applications
نویسندگان
چکیده
The (almost) 1-cover lifting property of omega-limit sets is established for nonmonotone skew-product semiflows, which are comparable to uniformly stable eventually strongly monotone skew-product semiflows. These results are then applied to study the asymptotic behavior of solutions to the nonmonotone comparable systems of ODEs, reaction-diffusion systems, differential systems with time delays and semilinear parabolic equations.
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