Delay perturbed evolution problems involving time dependent subdifferential operators
Soumia Saïdi, Mustapha Fateh Yarou (2014)
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
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We investigate in the present paper, the existence and uniqueness of solutions for functional differential inclusions involving a subdifferential operator in the infinite dimensional setting. The perturbation which contains the delay is single-valued, separately measurable, and separately Lipschitz. We prove, without any compactness condition, that the problem has one and only one solution.