NECESSARY AND SUFFICIENT CONDITIONS FOR THE OSCILLATIONS OF A MULTIPLICATIVE DELAY LOGISTIC EQUATION

Authors
GRACE SR GYORI I LALLI BS
Citation
Sr. Grace et al., NECESSARY AND SUFFICIENT CONDITIONS FOR THE OSCILLATIONS OF A MULTIPLICATIVE DELAY LOGISTIC EQUATION, Quarterly of applied mathematics, 53(1), 1995, pp. 69-79
Citations number
15
Categorie Soggetti
Mathematics,Mathematics
Journal title
Quarterly of applied mathematics → ACNP
ISSN journal
0033569X
Volume
53
Issue
1
Year of publication
1995
Pages
69 - 79
Database
ISI
SICI code
0033-569X(1995)53:1<69:NASCFT>2.0.ZU;2-K
Abstract
Necessary and sufficient conditions are presented for the oscillation of all positive solutions of the multiplicative delay logistic equatio n [GRAPHICS] about the positive equilibrium K. The cases when r(t) = r and g(j)(t) = t - tau(j) or g(j)(t) = [t - k(j)], [.] denoting the gr eatest integer function, where r, tau(j), and k(j) are positive consta nts, j = 1, 2,..., m, are also included.