Syed Abbas, Dhirendra Bahuguna
Abstract:
In this article we use the theory of C0-semigroup of
bounded linear operators to establish the existence and uniqueness
of a classical solution to a quasilinear functional differential
equation considered in a Banach space.
Submitted May 23, 2009 Published December 21, 2009.
Math Subject Classifications: 47D60, 34A12, 35K90.
Key Words: C0-semigroup; quasilinear differential equation; mild solution
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Syed Abbas Department of Mathematics and Statistics Indian Institute of Technology Kanpur, Kanpur - 208016, India email: sabbas.iitk@gmail.com |
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Dhirendra Bahuguna Department of Mathematics and Statistics Indian Institute of Technology Kanpur, Kanpur - 208016, India email: dhiren@iitk.ac.in |
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