Electron. J. Diff. Equ., Vol. 2015 (2015), No. 222, pp. 1-14.

Mild solutions for non-autonomous impulsive semi-linear differential equations with iterated deviating arguments

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
Dwijendra N. Pandey
Department of Mathematics
Indian Institute of Technology Roorkee
Roorkee, Uttarakhand 247667, India
email: dwij.iitk@gmail.com

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