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Existence, uniqueness and attractivity properties of positive complete trajectories for non-autonomous reaction-diffusion problems

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Rodríguez Bernal, Aníbal and Vidal López, Alejandro (2007) Existence, uniqueness and attractivity properties of positive complete trajectories for non-autonomous reaction-diffusion problems. Discrete and Continuous Dynamical Systems. Series A., 18 (2-3). 537-567 . ISSN 1553-5231

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Official URL: http://www.aimsciences.org/journals/dcdsA/online.jsp



Abstract

We give conditions for the existence of a unique positive complete trajectories for non-autonomous reaction-diffusion equations. Also, attraction properties of the unique complete trajectory is obtained in a pullback sense and also forward in time. As an example, a non-autonomous logistic equation is considered.


Item Type:Article
Uncontrolled Keywords:Logistic equations, Pull-back attraction
Subjects:Sciences > Mathematics > Differential equations
ID Code:12780
Deposited On:30 May 2011 07:33
Last Modified:12 Dec 2018 15:07

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