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

Aníbal Rodríguez-Bernal; Alejandro Vidal-López

doi:10.3934/dcds.2007.18.537

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

Complutense University

Research output: Contribution to journal › Article › peer-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 language	English
Pages (from-to)	537-567
Number of pages	31
Journal	Discrete and Continuous Dynamical Systems
Volume	18
Issue number	2-3
DOIs	https://doi.org/10.3934/dcds.2007.18.537
Publication status	Published - 2007
Externally published	Yes

Keywords

Forward behaviour
Logistic equations
Pull-back attraction

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10.3934/dcds.2007.18.537

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

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.",

keywords = "Forward behaviour, Logistic equations, Pull-back attraction",

author = "An{\'i}bal Rodr{\'i}guez-Bernal and Alejandro Vidal-L{\'o}pez",

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AU - Rodríguez-Bernal, Aníbal

AU - Vidal-López, Alejandro

PY - 2007

Y1 - 2007

N2 - 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.

AB - 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.

KW - Forward behaviour

KW - Logistic equations

KW - Pull-back attraction

UR - https://www.scopus.com/pages/publications/34548666762

U2 - 10.3934/dcds.2007.18.537

DO - 10.3934/dcds.2007.18.537

M3 - Article

AN - SCOPUS:34548666762

SN - 1078-0947

VL - 18

SP - 537

EP - 567

JO - Discrete and Continuous Dynamical Systems

JF - Discrete and Continuous Dynamical Systems

IS - 2-3

ER -

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

Abstract

Keywords

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