February & March  2007, 18(2&3): 537-567. doi: 10.3934/dcds.2007.18.537

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

1. 

Universidad Complutense de Madrid, Facultad de Ciencias Matemática, Matemática Aplicada, 28040, Madrid, Spain

2. 

Depto. Matemática Aplicada, Universidad Complutense de Madrid, 28040 Madrid, Spain

Received  March 2006 Revised  June 2006 Published  March 2007

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.
Citation: Aníbal Rodríguez-Bernal, Alejandro Vidal–López. Existence, uniqueness and attractivity properties of positive complete trajectories for non-autonomous reaction-diffusion problems. Discrete & Continuous Dynamical Systems - A, 2007, 18 (2&3) : 537-567. doi: 10.3934/dcds.2007.18.537
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