Geodesic
EXISTENCE OF GLOBAL SOLUTIONS FOR IMPULSIVE FUNCTIONAL DIFFERENTIAL EQUATIONS WITH NONLOCAL CONDITIONS
SIVASANKARAN, S.1 ; ARJUNAN, M. MALLIKA2 ; VIJAYAKUMAR, V.3
1 Department of Mathematics, University College, Sungkyunkwan University, Suwon 440-746, South Korea
2 Department of Mathematics, Karunya University, Karunya Nagar, Coimbatore - 641 114, Tamil Nadu, India
3 Department of Mathematics, Info Institute of Engineering, Kovilpalayam, Coimbatore - 641 107, Tamil Nadu, India
Journal of nonlinear sciences and its applications, Tome 4 (2011) no. 2, p. 102-114.

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

In this paper, we study the existence of global solutions for a class of impulsive abstract functional differential equation with nonlocal conditions. The results are obtained by using the Leray-Schauder alternative fixed point theorem. An example is provided to illustrate the theory.
DOI : 10.22436/jnsa.004.02.02
Classification : 34A37, 34K30, 35R10, 35R12, 47D06, 49K25
Keywords: Impulsive functional differential equations, mild solutions, global solutions, semigroup theory.

SIVASANKARAN, S. 1 ; ARJUNAN, M. MALLIKA 2 ; VIJAYAKUMAR, V. 3

1 Department of Mathematics, University College, Sungkyunkwan University, Suwon 440-746, South Korea
2 Department of Mathematics, Karunya University, Karunya Nagar, Coimbatore - 641 114, Tamil Nadu, India
3 Department of Mathematics, Info Institute of Engineering, Kovilpalayam, Coimbatore - 641 107, Tamil Nadu, India 
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SIVASANKARAN, S.; ARJUNAN, M. MALLIKA; VIJAYAKUMAR, V. EXISTENCE OF GLOBAL SOLUTIONS FOR IMPULSIVE FUNCTIONAL DIFFERENTIAL EQUATIONS WITH NONLOCAL CONDITIONS. Journal of nonlinear sciences and its applications, Tome 4 (2011) no. 2, p. 102-114. doi : 10.22436/jnsa.004.02.02. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.004.02.02/

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