Geodesic
EXISTENCE RESULTS FOR IMPULSIVE SYSTEMS WITH NONLOCAL CONDITIONS IN BANACH SPACES
KAVITHA, V.1 ; ARJUNAN, M. MALLIKA2 ; RAVICHANDRAN, C.3
1 Department of Mathematics, Karunya University, , , Karunya Nagar, Coimbatore-641 114, Tamil Nadu, India
2 Department of Mathematics, Karunya University, Karunya Nagar, Coimbatore-641 114, Tamil Nadu, India
3 Department of Mathematics, Karunya University, Karunya Nagar, Coimbatore- 641 114, Tamil Nadu, India
Journal of nonlinear sciences and its applications, Tome 4 (2011) no. 2, p. 138-151.

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

According to semigroup theories and Sadovskii fixed point theorem, this paper is mainly concerned with the existence of solutions for an impulsive neutral differential and integrodifferential systems with nonlocal conditions in Banach spaces. As an application of this main theorem, a practical consequence is derived for the sub-linear growth case. In the end, an example is also given to show the application of our result.
DOI : 10.22436/jnsa.004.02.06
Classification : 34A37
Keywords: Nonlocal condition, Impulsive differential equation, Sadovskii fixed point theorem

KAVITHA, V. 1 ; ARJUNAN, M. MALLIKA 2 ; RAVICHANDRAN, C. 3

1 Department of Mathematics, Karunya University, , , Karunya Nagar, Coimbatore-641 114, Tamil Nadu, India
2 Department of Mathematics, Karunya University, Karunya Nagar, Coimbatore-641 114, Tamil Nadu, India
3 Department of Mathematics, Karunya University, Karunya Nagar, Coimbatore- 641 114, Tamil Nadu, India 
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KAVITHA, V.; ARJUNAN, M. MALLIKA; RAVICHANDRAN, C. EXISTENCE RESULTS FOR IMPULSIVE SYSTEMS WITH NONLOCAL CONDITIONS IN BANACH SPACES. Journal of nonlinear sciences and its applications, Tome 4 (2011) no. 2, p. 138-151. doi : 10.22436/jnsa.004.02.06. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.004.02.06/

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