Existence results for first order impulsive functional differential equations with state-dependent delay

Benchohra, Mouffak   ; Hedia, Benaouda

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 49 (2010) no. 2, pp. 5-19

Abstract (VO)

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.

Détail

Classification : 34A37
Keywords: Differential equation; state-dependent delay; fixed point; impulses; infinite delay

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