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Frequently Hypercyclic and Chaotic Behavior of Some First-Order Partial Differential Equation

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  • Cheng-Hung Hung
  • Yu-Hsien Chang

Abstract

We study a particular first-order partial differential equation which arisen from a biologic model. We found that the solution semigroup of this partial differential equation is a frequently hypercyclic semigroup. Furthermore, we show that it satisfies the frequently hypercyclic criterion, and hence the solution semigroup is also a chaotic semigroup.

Suggested Citation

  • Cheng-Hung Hung & Yu-Hsien Chang, 2013. "Frequently Hypercyclic and Chaotic Behavior of Some First-Order Partial Differential Equation," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-6, November.
    • Handle: RePEc:hin:jnlaaa:679839
    DOI: 10.1155/2013/679839
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