School of Mathematics and Statistics
The University of New South Wales
Sydney NSW 2052, Australia
email: a.zaidi@unsw.edu.au
Atiya H. Zaidi
Abstract:
In this article, we study the existence of solutions to first
order non-linear initial value problems within the field of
"dynamic equations on time scales".
We employ the method of upper and lower solutions and Schauder's
fixed point theorem. We also provide sufficient conditions
under which the upper and lower solutions converge uniformly
to a solution. Some examples are given to illustrate the
new results.
Submitted November 24, 2009. Published December 17, 2009.
Math Subject Classifications: 34N05, 26E70.
Key Words: Existence of solutions; non-linear nabla equations;
lower and upper solutions; zero approximations.
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Atiya H. Zaidi School of Mathematics and Statistics The University of New South Wales Sydney NSW 2052, Australia email: a.zaidi@unsw.edu.au |
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