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Delay perturbed evolution problems involving time dependent subdifferential operators

100%

Saïdi S. , Yarou M.

Discussiones Mathematicae, Differential Inclusions, Control and Optimization

2014

tom 34

nr 1

61-87

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.

On a time-dependent subdifferential evolution inclusion with Carathéodory perturbation

100%

Saïdi S. , Yarou M.

Annales Polonici Mathematici

2015

tom 114

nr 2

133-146

On an infinite-dimensional Hilbert space, we establish the existence of solutions for some evolution problems associated with time-dependent subdifferential operators whose perturbations are Carathéodory single-valued maps.