Controllability of Nonlocal Impulsive Functional Differential Equations with Measure of Noncompactness in Banach Spaces

Dlmplekumar N. Chalishajar; Kulandhivel Karthikeyan; Dhachinamoorthi Tamizharasan

doi:10.2478/tmmp-2021-0020

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Controllability of Nonlocal Impulsive Functional Differential Equations with Measure of Noncompactness in Banach Spaces

Tatra Mountains Mathematical Publications

Volume 79 (2021): Issue 2 (December 2021)

By: Dlmplekumar N. Chalishajar, Kulandhivel Karthikeyan and Dhachinamoorthi Tamizharasan

Open Access

|Jan 2022

Abstract

This paper is concerned with the controllability of impulsive differential equations with nonlocal conditions. First, we establish a property of measure of noncompactness in the space of piecewise continuous functions. Then, by using this property and Darbo-Sadovskii’s Fixed Point Theorem, we get the controllability of nonlocal impulsive differential equations under compactness conditions, Lipschitz conditions and mixed-type conditions, respectively.

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Articles in this issue

DOI: https://doi.org/10.2478/tmmp-2021-0020 | Journal eISSN: 1338-9750 | Journal ISSN: 1210-3195

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Language: English

Page range: 59 - 80

Submitted on: Oct 16, 2019

Published on: Jan 1, 2022

Published by: Slovak Academy of Sciences, Mathematical Institute

In partnership with: Paradigm Publishing Services

Publication frequency: 1 issue per year

Keywords:

controllability,

impulsive differential equations,

nonlocal conditions,

measure of non compactness,

fixed point theorem

Related subjects:

Mathematics,

General mathematics

© 2022 Dlmplekumar N. Chalishajar, Kulandhivel Karthikeyan, Dhachinamoorthi Tamizharasan, published by Slovak Academy of Sciences, Mathematical Institute
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Volume 79 (2021): Issue 2 (December 2021)