Geodesic
Delay perturbed evolution problems involving time dependent subdifferential operators
Discussiones Mathematicae. Differential Inclusions, Control and Optimization, Tome 34 (2014) no. 1, pp. 61-87.

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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.
Keywords: Differential inclusions, subdifferential operator, Lipschitz functions, set-valued map, delay, perturbation, absolutely continuous map 
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Saïdi, Soumia; Yarou, Mustapha. Delay perturbed evolution problems involving time dependent subdifferential operators. Discussiones Mathematicae. Differential Inclusions, Control and Optimization, Tome 34 (2014) no. 1, pp. 61-87. http://geodesic.mathdoc.fr/item/DMDICO_2014_34_1_a3/

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