%0 Journal Article %T On the solvability of nonlinear first-order boundary-value problems %A Christopher C. Tisdell %J Electronic Journal of Differential Equations %D 2006 %I Texas State University %X 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. %K Existence of solutions %K boundary value problems %K differential equations %K fixed-point methods %K differential inequalities. %U http://ejde.math.txstate.edu/Volumes/2006/80/abstr.html