✦ LIBER ✦

Bifurcation of positive periodic solutions of first-order impulsive differential equations

✍ Scribed by Ruyun Ma, Bianxia Yang, Zhenyan Wang

Book ID: 119906898
Publisher: Springer International Publishing AG
Year: 2012
Tongue: English
Weight: 252 KB
Volume: 2012
Category: Article
ISSN: 1687-2762
DOI: 10.1186/1687-2770-2012-83

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## Abstract The existence of anti-periodic solutions of the following nonlinear impulsive functional differential equations $$ x'(t) + a(t)x(t) = f(t,x(t),x(\alpha \_1 (t)), \ldots ,x(\alpha \_n (t))),t \in \mathbb{R},\Delta x(t\_k ) = I\_k (x(t\_k )),k \in \mathbb{Z} $$ is studied. Sufficient cond