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The Existence and Application of Unbounded Connected Components

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  • Hua Luo
  • Ruyun Ma

Abstract

Let X be a Banach space and a family of connected subsets of . We prove the existence of unbounded components in superior limit of , denoted by , 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.

Suggested Citation

  • Hua Luo & Ruyun Ma, 2014. "The Existence and Application of Unbounded Connected Components," Journal of Applied Mathematics, Hindawi, vol. 2014, pages 1-7, April.
  • Handle: RePEc:hin:jnljam:780486
    DOI: 10.1155/2014/780486
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