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Solutions of nonlinear impulsive Itô functional-differential equations: Stability by the linear approximation

✍ Scribed by Kadiev, R. I.

Book ID: 121605660
Publisher: Springer
Year: 2013
Tongue: English
Weight: 306 KB
Volume: 49
Category: Article
ISSN: 0012-2661
DOI: 10.1134/S0012266113080028

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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