GLOBAL ATTRACTIVITY IN A NONLINEAR DIFFERENCE EQUATION

Citation
Cg. Philos et al., GLOBAL ATTRACTIVITY IN A NONLINEAR DIFFERENCE EQUATION, Applied mathematics and computation, 62(2-3), 1994, pp. 249-258
Citations number
13
Categorie Soggetti
Mathematics,Mathematics
ISSN journal
00963003
Volume
62
Issue
2-3
Year of publication
1994
Pages
249 - 258
Database
ISI
SICI code
0096-3003(1994)62:2-3<249:GAIAND>2.0.ZU;2-Z
Abstract
We consider the (nonlinear) difference equation [GRAPHICS] where a and b(k) (k = 1, 2, ..., m) are nonnegative numbers with B = SIGMA(k=1)mb (k) > 0, and we are interested in whether all positive solutions are a ttracted by the positive equilibrium L = (a/2) + square-root (a/2)2 B.