Classification of positive solutions of generalized functional differential equations

Authors
Hong, HL Wong, FH Yeh, CC
Citation
Hl. Hong et al., Classification of positive solutions of generalized functional differential equations, MATH COMP M, 30(5-6), 1999, pp. 89-99
Citations number
9
Categorie Soggetti
Engineering Mathematics
Journal title
MATHEMATICAL AND COMPUTER MODELLING
ISSN journal
08957177 → ACNP
Volume
30
Issue
5-6
Year of publication
1999
Pages
89 - 99
Database
ISI
SICI code
0895-7177(199909)30:5-6<89:COPSOG>2.0.ZU;2-2
Abstract
In this paper, we give a classification of nonoscillatory solutions of the quasilinear differential equation (phi (y'(t)))' + f (t,y(g(t))) = 0, t greater than or equal to a. (*) Under suitable conditions on f and g, we obtain a classification of nonosci llatory solutions of (*) according to their asymptotic behavior as t --> in finity. We also afford some necessary and sufficient conditions to guarante e the existence of nonoscillatory and oscillatory solutions for the above e quation. (C) 1999 Elsevier Science Ltd. All rights reserved.