Necessary and sufficient conditions for oscillations of delay equations with impulses

✍ Scribed by Aimin Zhao; Jurang Yan

• Publisher: Elsevier Science
• Year: 1997
• Tongue: English
• Weight: 240 KB
• Volume: 10
• Category: Article
• ISSN: 0893-9659
• DOI: 10.1016/s0893-9659(96)00105-x

✦ Synopsis

In this paper, a necessary and sufficient condition for oscillation of a first-order delay differential equation with impulses

x'(t) + 3-:~ p~x (t -rd = 0, t # t~, i=1

x(t+)-x(tk) =bk~(t~), k = 1,2 ....