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

Cheng-Hung Hung and Yu-Hsien Chang

Abstract and Applied Analysis, 2013, vol. 2013, issue 1

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.

Date: 2013
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https://doi.org/10.1155/2013/679839

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:679839

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