We establish sufficient conditions for the existence and uniqueness of solutions to quasi-linear differential equations with iterated deviating arguments, complex Banach space. The results are obtained by using the semigroup theory for parabolic equations and fixed point theorems. The main results are illustrated by an example.
Submitted September 15, 2014. Published December 1, 2014.
Math Subject Classifications: 34G20, 34K30, 35K90, 47N20, 39B12.
Key Words: Deviating argument; analytic semigroup; fixed point theorem; iterated argument.
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| Rajib Haloi |
Department of Mathematical Sciences, Tezpur University
Napaam, Tezpur 784028, India.
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