## Abstract and Applied Analysis

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

#### 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.

#### Article information

Source
Abstr. Appl. Anal., Volume 2013 (2013), Article ID 679839, 6 pages.

Dates
First available in Project Euclid: 27 February 2014

https://projecteuclid.org/euclid.aaa/1393512111

Digital Object Identifier
doi:10.1155/2013/679839

Mathematical Reviews number (MathSciNet)
MR3124079

Zentralblatt MATH identifier
07095225

#### Citation

Hung, Cheng-Hung; Chang, Yu-Hsien. Frequently Hypercyclic and Chaotic Behavior of Some First-Order Partial Differential Equation. Abstr. Appl. Anal. 2013 (2013), Article ID 679839, 6 pages. doi:10.1155/2013/679839. https://projecteuclid.org/euclid.aaa/1393512111

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