OSCILLATION AND NONOSCILLATION IN NEUTRAL EQUATIONS WITH INTEGRABLE COEFFICIENTS

Citation
Js. Yu et al., OSCILLATION AND NONOSCILLATION IN NEUTRAL EQUATIONS WITH INTEGRABLE COEFFICIENTS, Computers & mathematics with applications, 35(6), 1998, pp. 65-71
Citations number
8
Categorie Soggetti
Mathematics,"Computer Science Interdisciplinary Applications",Mathematics,"Computer Science Interdisciplinary Applications
ISSN journal
08981221
Volume
35
Issue
6
Year of publication
1998
Pages
65 - 71
Database
ISI
SICI code
0898-1221(1998)35:6<65:OANINE>2.0.ZU;2-2
Abstract
We obtain, respectively, new sufficient conditions for the oscillation of all solutions and the existence of a positive solution of the neut ral delay differential equation d/dt [x(t) - P(t)x(t - tau)] + Q(t)x(t - delta) = 0, t greater than or equal to t(0), where tau, delta is an element of (0, infinity), P,Q is an element of C([t(0), infinity),R+) , and integral(t0)(infinity) Q(s) ds < infinity.