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Measure of noncompactness and neutral functional differential equations with state-dependent delay

Benchohra M., Henderson J., Medjadj I.

Journal of Mathematics and Applications

2016

Vol. 39

23--45

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.

Existence and controllability results for mixed functional integrodifferential equations with infinite delay

Kucche K. D.

Demonstratio Mathematica

2014

Vol. 47, nr 4

893--909

Sufficient conditions are established for the existence of solution for mixed neutral functional integrodifferential equations with infinite delay. The results are obtained using the theory of fractional powers of operators and the Sadovskii’s fixed point theorem. As an application we prove a controllability result for the system.