Geodesic
Global existence results for second order neutral functional differential equation with state-dependent delay
Commentationes Mathematicae Universitatis Carolinae, Tome 57 (2016) no. 2, pp. 169-183.

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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.
DOI : 10.14712/1213-7243.2015.163
Classification : 34G20, 34K20, 34K30
Keywords: neutral functional differential equation of second order; mild solution; infinite delay; state-dependent delay fixed point; semigroup theory; cosine function 
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Benchohra, Mouffak; Medjadj, Imene. Global existence results for second order neutral functional differential equation with state-dependent delay. Commentationes Mathematicae Universitatis Carolinae, Tome 57 (2016) no. 2, pp. 169-183. doi : 10.14712/1213-7243.2015.163. http://geodesic.mathdoc.fr/articles/10.14712/1213-7243.2015.163/

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