<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>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.</p>
</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.

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

KPR Institute of Engineering and Technology

Tatra Mountains Mathematical Publications

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

This paper is concerned with the controllability of impulsive differential equations with nonlocal conditions. First, we establish a property of measure of...

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

Published Online: Jan 01, 2022

Page range: 59 - 80

Received: Oct 16, 2019

DOI: https://doi.org/10.2478/tmmp-2021-0020

Keywords
controllability, impulsive differential equations, nonlocal conditions, measure of non compactness, fixed point theorem

© 2021 Mathematical Institute, Slovak Academy of Sciences

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

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

Published Online: Jan 01, 2022

Page range: 59 - 80

Received: Oct 16, 2019

DOI: https://doi.org/10.2478/tmmp-2021-0020

Keywordscontrollability, impulsive differential equations, nonlocal conditions, measure of non compactness, fixed point theorem

© 2021 Mathematical Institute, Slovak Academy of Sciences

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Keywords
controllability, impulsive differential equations, nonlocal conditions, measure of non compactness, fixed point theorem