School of Mathematics
The University of New South Wales
UNSW Sydney 2052, Australia
email: cct@maths.unsw.edu.au
Christopher C. Tisdell
Abstract:
This article investigates the existence of solutions to first-order
nonlinear boundary-value problems (BVPs) involving systems of
ordinary differential equations and two-point boundary conditions.
Some sufficient conditions are presented that will ensure solvability.
The main tools employed are novel differential inequalities and
fixed-point methods.
Submitted April 7, 2006. Published Juy 19, 2006.
Math Subject Classifications: 34B15, 34B99.
Key Words: Existence of solutions; boundary value problems;
differential equations; fixed-point methods; differential inequalities.
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Christopher C. Tisdell School of Mathematics The University of New South Wales UNSW Sydney 2052, Australia email: cct@maths.unsw.edu.au |
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