Measure of Noncompactness and Neutral Functional Diﬀerential Equations with State-Dependent Delay

Imene Medjadj; Mouffak Benchohra; Johnny Henderson; Academic Editor: Youssef EL FOUTAYENI

Research Communication | Open Access
Volume 2019 | Communication ID 260

Measure of Noncompactness and Neutral Functional Diﬀerential Equations with State-Dependent Delay

Imene Medjadj, Mouffak Benchohra, Johnny Henderson

Academic Editor: Youssef EL FOUTAYENI

Received	Accepted	Published
Feb 02, 2019	Feb 26, 2019	Mar 01, 2019

Abstract: Our aim in this work is to study the existence of solutions of ﬁrst and second order for neutral functional diﬀerential equations with state-dependent delay. We use the M¨onch’s ﬁxed point theorem for the existence of solutions and the concept of measures of noncompactness.