Alka Chadha, Dwijendra N. Pandey
Abstract:
In this work, we consider an impulsive non-autonomous semi-linear
equation with iterated deviating arguments in a Banach space.
We establish the existence and uniqueness of a mild solution.
Also we present an example that illustrates our main result.
Submitted November 20, 2014. Published August 27, 2015.
Math Subject Classifications: 34K37, 34K30, 35R11, 47N20.
Key Words: Iterated deviated argument; analytic semigroup;
Banach fixed point theorem; impulsive differential equation.
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Alka Chadha Department of Mathematics Indian Institute of Technology Roorkee Roorkee, Uttarakhand 247667, India email: alkachadda23@gmail.com |
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Dwijendra N. Pandey Department of Mathematics Indian Institute of Technology Roorkee Roorkee, Uttarakhand 247667, India email: dwij.iitk@gmail.com |
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