EXISTENCE RESULTS FOR IMPULSIVE SYSTEMS WITH NONLOCAL CONDITIONS IN BANACH SPACES
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Authors
V. KAVITHA
- Department of Mathematics, Karunya University, , , Karunya Nagar, Coimbatore-641 114, Tamil Nadu, India.
M. MALLIKA ARJUNAN
- Department of Mathematics, Karunya University, Karunya Nagar, Coimbatore-641 114, Tamil Nadu, India.
C. RAVICHANDRAN
- Department of Mathematics, Karunya University, Karunya Nagar, Coimbatore- 641 114, Tamil Nadu, India.
Abstract
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.
Share and Cite
ISRP Style
V. KAVITHA, M. MALLIKA ARJUNAN, C. RAVICHANDRAN, EXISTENCE RESULTS FOR IMPULSIVE SYSTEMS WITH NONLOCAL CONDITIONS IN BANACH SPACES, Journal of Nonlinear Sciences and Applications, 4 (2011), no. 2, 138-151
AMA Style
KAVITHA V., ARJUNAN M. MALLIKA, RAVICHANDRAN C., EXISTENCE RESULTS FOR IMPULSIVE SYSTEMS WITH NONLOCAL CONDITIONS IN BANACH SPACES. J. Nonlinear Sci. Appl. (2011); 4(2):138-151
Chicago/Turabian Style
KAVITHA, V., ARJUNAN, M. MALLIKA, RAVICHANDRAN, C.. " EXISTENCE RESULTS FOR IMPULSIVE SYSTEMS WITH NONLOCAL CONDITIONS IN BANACH SPACES." Journal of Nonlinear Sciences and Applications, 4, no. 2 (2011): 138-151
Keywords
- Nonlocal condition
- Impulsive differential equation
- Sadovskii fixed point theorem
MSC
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