The Existence and Application of Unbounded Connected Components

Hua Luo and Ruyun Ma

Journal of Applied Mathematics, 2014, vol. 2014, issue 1

Abstract: Let X be a Banach space and Cn a family of connected subsets of R × X. We prove the existence of unbounded components in superior limit of {Cn}, denoted by lim¯ Cn, which have prescribed shapes. As applications, we investigate the global behavior of the set of positive periodic solutions to nonlinear first‐order differential equations with delay, which can be used for modeling physiological processes.

Date: 2014
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https://doi.org/10.1155/2014/780486

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2014:y:2014:i:1:n:780486

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