Geodesic
Existence results for first order impulsive functional differential equations with state-dependent delay
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 49 (2010) no. 2, pp. 5-19.

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In this paper we study the existence of solutions for impulsive differential equations with state dependent delay. Our results are based on the Leray–Schauder nonlinear alternative and Burton–Kirk fixed point theorem for the sum of two operators.
Classification : 34A37
Keywords: Differential equation; state-dependent delay; fixed point; impulses; infinite delay 
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Benchohra, Mouffak; Hedia, Benaouda. Existence results for first order impulsive functional differential equations with state-dependent delay. Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 49 (2010) no. 2, pp. 5-19. http://geodesic.mathdoc.fr/item/AUPO_2010__49_2_a0/