Abstract:Our aim in this work is to provide sufficient conditions for the existence of global solutions of second order neutral functional differential equation with state-dependent delay. We use the semigroup theory and Schauder's fixed point theorem.
Keywords: neutral functional differential equation of second order; mild solution; infinite delay; state-dependent delay fixed point; semigroup theory; cosine function
DOI: DOI 10.14712/1213-7243.2015.163
AMS Subject Classification: 34G20 34K20 34K30