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

Aníbal Rodríguez-Bernal*, Alejandro Vidal-López

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

18 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)537-567
Number of pages31
JournalDiscrete and Continuous Dynamical Systems
Volume18
Issue number2-3
DOIs
Publication statusPublished - 2007
Externally publishedYes

Keywords

  • Forward behaviour
  • Logistic equations
  • Pull-back attraction

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