Canonical solutions and almost periodicity in a discrete logistic equation

Authors
Gopalsamy, K Mohamad, S
Citation
K. Gopalsamy et S. Mohamad, Canonical solutions and almost periodicity in a discrete logistic equation, APPL MATH C, 113(2-3), 2000, pp. 305-323
Citations number
18
Categorie Soggetti
Engineering Mathematics
Journal title
APPLIED MATHEMATICS AND COMPUTATION
ISSN journal
00963003 → ACNP
Volume
113
Issue
2-3
Year of publication
2000
Pages
305 - 323
Database
ISI
SICI code
0096-3003(20000715)113:2-3<305:CSAAPI>2.0.ZU;2-S
Abstract
Sufficient conditions are obtained for the existence of a globally attracti ve positive, almost periodic solution of a discrete system of the form x(n+1) = alpha(n)x(n)/1 + beta(n)x(n) where {alpha(n)} and {beta(n)} denote almost periodic nonnegative sequences . The analysis gcneralises the results corresponding to the periodic case o f the discrete system. (C) 2000 Elsevier Science Inc. All rights reserved.