Open Access
2000 Extreme stability and almost periodicity in a discrete logistic equation
Sannay Mohamad, Kondalsamy Gopalsamy
Tohoku Math. J. (2) 52(1): 107-125 (2000). DOI: 10.2748/tmj/1178224661

Abstract

A sufficient condition is obtained for the existence of a globally asymptotically stable positive almost periodic solution of a discrete logistic equation. The sufficient condition becomes a necessary and sufficient condition for the global asymptotic stability of the positive equilibrium of the corresponding autonomous equation.

Citation

Download Citation

Sannay Mohamad. Kondalsamy Gopalsamy. "Extreme stability and almost periodicity in a discrete logistic equation." Tohoku Math. J. (2) 52 (1) 107 - 125, 2000. https://doi.org/10.2748/tmj/1178224661

Information

Published: 2000
First available in Project Euclid: 4 May 2007

zbMATH: 0954.39005
MathSciNet: MR1740546
Digital Object Identifier: 10.2748/tmj/1178224661

Subjects:
Primary: 92D25
Secondary: 34K20

Keywords: almost periodic sequence , global asymptotic stability , Persistence

Rights: Copyright © 2000 Tohoku University

Vol.52 • No. 1 • 2000
Back to Top