<abstract xmlns="http://www.w3.org/1999/xhtml">This manuscript involves a class of first-order controllability results for nonlocal non-autonomous neutral differential systems with non-instantaneous impulses in the space 𝕉<italic>n</italic>. Sufficient conditions guaranteeing the controllability of mild solutions are set up. Concept of evolution family and Rothe’s fixed point theorem are employed to achieve the required results. A model is investigated to delineate the adequacy of the results.</abstract>

This manuscript involves a class of first-order controllability results for nonlocal non-autonomous neutral differential systems with non-instantaneous impulses in the space 𝕉n. Sufficient conditions guaranteeing the controllability of mild solutions are set up. Concept of evolution family and Rothe’s fixed point theorem are employed to achieve the required results. A model is investigated to delineate the adequacy of the results.

Controllability of nonlocal non-autonomous neutral differential systems including non-instantaneous impulsive effects in 𝕉<italic>n</italic>

Department of Mathematics and Computer Sciences, Faculty of Arts and Sciences

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

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

Controllability of nonlocal non-autonomous neutral differential systems including non-instantaneous impulsive effects in 𝕉

This manuscript involves a class of first-order controllability results for nonlocal non-autonomous neutral differential systems with non-instantaneous...

Controllability of nonlocal non-autonomous neutral differential systems including non-instantaneous impulsive effects in 𝕉ⁿ

Published Online: Dec 28, 2020

Page range: 103 - 121

Received: Dec 22, 2019

Accepted: Feb 17, 2020

DOI: https://doi.org/10.2478/auom-2020-0037

Keywords
Controllability, Nonlocal conditions, Non-instantaneous impulsive conditions, Non-autonomous differential systems, Mild solution, Fixed point

© 2020 Velusamy Kavitha et al., published by Sciendo

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

Controllability of nonlocal non-autonomous neutral differential systems including non-instantaneous impulsive effects in 𝕉n

Published Online: Dec 28, 2020

Page range: 103 - 121

Received: Dec 22, 2019

Accepted: Feb 17, 2020

DOI: https://doi.org/10.2478/auom-2020-0037

KeywordsControllability, Nonlocal conditions, Non-instantaneous impulsive conditions, Non-autonomous differential systems, Mild solution, Fixed point

© 2020 Velusamy Kavitha et al., published by Sciendo

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

Controllability of nonlocal non-autonomous neutral differential systems including non-instantaneous impulsive effects in 𝕉ⁿ

Keywords
Controllability, Nonlocal conditions, Non-instantaneous impulsive conditions, Non-autonomous differential systems, Mild solution, Fixed point