Christopher C. Tisdell
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
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