Existence and Controllability for Impulsive Evolution Inclusions without Compactness
Tóm tắt
In this paper, we investigate the existence and controllability for impulsive evolution inclusions in Banach spaces. By using weak topology technique and Glicksberg-Ky Fan fixed point theorem, we obtain the existence of mild solutions and controllability outcomes, avoiding hypotheses of compactness on the semigroup generated by the linear part and any conditions on the multivalued nonlinearity expressed in terms of measures of noncompactness. Finally, we show an illustration to outline the plausibility of the theoretical results.
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