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

Rok, strany: 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.

ISO 690:

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

APA:

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

Vydavateľ: Mathematical Institute, Slovak Academy of Sciences, Bratislava

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