Geodesic
Controllability of nonlocal impulsive functional differential equations with measure of noncompactness in Banach spaces
Chalishajar, D. N. 1 ; Karthikeyan, K.2 ; Tamizharasan, D. 3
1 Department of Applied Mathematics, Virginia Military Institute (VMI), 435, Mallory Hall, Lexington, VA 24450, USA
2 Department of Mathematics \(\&\) Centre for Research and Development, KPR Institute of Engineering and Technology, Coimbatore- 641 407, Tamil Nadu, India
3 Department of Mathematics, KSR College of Technology, Tiruchengode 637 215, Tamilnadu, India
Journal of nonlinear sciences and its applications, Tome 14 (2021) no. 6, p. 400-413.

Voir la notice de l'article provenant de la source International Scientific Research Publications

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.
DOI : 10.22436/jnsa.014.06.03
Classification : 34K30, 34K35, 35R10, 60G99, 93C10
Keywords: Controllability, impulsive differential equations, nonlocal conditions, measure of non compactness, fixed point theorem

Chalishajar, D. N.  1 ; Karthikeyan, K. 2 ; Tamizharasan, D.  3

1 Department of Applied Mathematics, Virginia Military Institute (VMI), 435, Mallory Hall, Lexington, VA 24450, USA
2 Department of Mathematics \(\&\) Centre for Research and Development, KPR Institute of Engineering and Technology, Coimbatore- 641 407, Tamil Nadu, India
3 Department of Mathematics, KSR College of Technology, Tiruchengode 637 215, Tamilnadu, India 
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Chalishajar, D. N. ; Karthikeyan, K.; Tamizharasan, D. . Controllability of nonlocal impulsive functional  differential equations with measure of noncompactness in Banach spaces. Journal of nonlinear sciences and its applications, Tome 14 (2021) no. 6, p. 400-413. doi : 10.22436/jnsa.014.06.03. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.014.06.03/

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