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

Mouffak Benchohra | Zendy; Johnny Henderson | Zendy; I. Medjajdj | Zendy

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

Author(s) -

Mouffak Benchohra,

Johnny Henderson,

I. Medjajdj

Publication year - 2016

Publication title -

journal of mathematics and applications

Language(s) - English

Resource type - Journals

eISSN - 2300-9926

pISSN - 1733-6775

DOI - 10.7862/rf.2016.2

Subject(s) - mathematics , measure (data warehouse) , state (computer science) , mathematical analysis , delay differential equation , differential equation , control theory (sociology) , algorithm , computer science , control (management) , data mining , artificial intelligence

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 Mönch’s fixed point theorem for the existence of solutions and the concept of measures of noncompactness. AMS Subject Classification: 34G20, 34K20, 34K30.

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