Controllability of nonlocal impulsive functional differential equations with measure of noncompactness in Banach spaces

Year, pages: 2021, 59 - 80

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.

Chalishajar, D., Karthikeyan, K., Tamizharasan, D. 2021. Controllability of nonlocal impulsive functional differential equations with measure of noncompactness in Banach spaces. In Tatra Mountains Mathematical Publications, vol. 79, no.2, pp. 59-80. 1210-3195. DOI: https://doi.org/10.2478/tmmp-2021-0020

Chalishajar, D., Karthikeyan, K., Tamizharasan, D. (2021). Controllability of nonlocal impulsive functional differential equations with measure of noncompactness in Banach spaces. Tatra Mountains Mathematical Publications, 79(2), 59-80. 1210-3195. DOI: https://doi.org/10.2478/tmmp-2021-0020

Publisher: Mathematical Institute, Slovak Academy of Sciences, Bratislava

https://creativecommons.org/licenses/by-nc-nd/4.0/