Electronic Journal of Differential Equations,
Vol. 2006(2006), No. 80, pp. 1-8.

Title: On the solvability of nonlinear first-order boundary-value problems

Author: Christopher C. Tisdell (Univ. of New South Wales, Australia)
	 
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 July 19, 2006.
Math Subject Classifications: 34B15, 34B99.
Key Words: Existence of solutions; boundary value problems; 
 differential equations; fixed-point methods; differential inequalities.