Approximate controllability for a class of instantaneous and non-instantaneous impulsive semilinear system with finite time delay

نویسندگان

چکیده

This paper deals with the existence of mild solutions and approximate controllability for a type semilinear system finite time delay, instantaneous, non-instantaneous impulses. First, we investigate result considered by applying Kuratowski measure noncompactness $ \rho $-set contractive fixed point theorem without using Lipschitz conditions, which are stronger than our assumptions impulses nonlinear term. Then, on this basis, is obtained. Finally, an example worked out to support main results.

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ژورنال

عنوان ژورنال: Evolution Equations and Control Theory

سال: 2023

ISSN: ['2163-2472', '2163-2480']

DOI: https://doi.org/10.3934/eect.2023007