Pradeep Kumar, Dwijendra N. Pandey, Dhirendra Bahuguna
Abstract:
The objective of this article is to prove the existence of piecewise
continuous mild solutions to impulsive functional differential equation
with iterated deviating arguments in a Banach space.
The results are obtained by using the theory of analytic semigroups and
fixed point theorems.
Submitted May 20, 2013. Published October 31, 2013.
Math Subject Classifications: 34K45, 34A60, 35R12, 45J05.
Key Words: Impulsive functional differential equation; deviating argument;
analytic semigroup; fixed point theorem.
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Pradeep Kumar Department of Mathematics and Statistics Indian Institute of Technology Kanpur Pin 208016, India email: prdipk@gmail.com |
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Dwijendra N. Pandey Department of Mathematics Indian Institute of Technology Roorkee Pin 247667, India email: dwij.iitk@gmail.com |
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Dhirendra Bahuguna Department of Mathematics and Statistics Indian Institute of Technology Kanpur, Pin 208016, India email: dhiren@iitk.ac.in Tel. +91-512-2597053, Fax +91-512-2597500 |
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