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Journal of Dynamical and Control Systems

Erschienen in:

14.07.2017

Existence and Controllability for Impulsive Evolution Inclusions without Compactness

verfasst von: Yong Zhou, S. Suganya, M. Mallika Arjunan

Erschienen in: Journal of Dynamical and Control Systems | Ausgabe 2/2018

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Abstract

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.

Vorheriger Artikel Lower and Upper Bounds for the Blow-Up Time of a Class of Damped Fourth-Order Nonlinear Evolution Equations

Nächster Artikel Uniform Stabilization of aNonlinear Axially Moving String by a Boundary Control of Memory Type

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Titel: Existence and Controllability for Impulsive Evolution Inclusions without Compactness
verfasst von: Yong Zhou
S. Suganya
M. Mallika Arjunan
Publikationsdatum: 14.07.2017
Verlag: Springer US
Erschienen in: Journal of Dynamical and Control Systems / Ausgabe 2/2018
Print ISSN: 1079-2724
Elektronische ISSN: 1573-8698
DOI: https://doi.org/10.1007/s10883-017-9373-8

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