NECESSARY AND SUFFICIENT CONDITIONS FOR OSCILLATIONS OF DELAY EQUATIONS WITH IMPULSES

Authors
ZHAO AM YAN JR
Citation
Am. Zhao et Jr. Yan, NECESSARY AND SUFFICIENT CONDITIONS FOR OSCILLATIONS OF DELAY EQUATIONS WITH IMPULSES, Applied mathematics letters, 10(1), 1997, pp. 23-29
Citations number
6
Categorie Soggetti
Mathematics,Mathematics
Journal title
Applied mathematics letters → ACNP
ISSN journal
08939659
Volume
10
Issue
1
Year of publication
1997
Pages
23 - 29
Database
ISI
SICI code
0893-9659(1997)10:1<23:NASCFO>2.0.ZU;2-#
Abstract
In this paper, a necessary and sufficient condition for oscillation of a first-order delay differential equation with impulses x'(t) + (i = 1)Sigma(n)p(i)x(t - tau(i)) = 0, t not equal t(k), x(t(k)(+)) - x(t(k) ) = b(k)x(t(k)), k = 1,2,... is established.