Electronic Journal of Differential Equations,
Vol. 2011 (2011), No. 17, pp. 1-9.

Title: Nonlocal boundary-value problems for n-th order ordinary
       differential equations by matching solutions

Author: Xueyan Liu (Baylor Univ., Waco, TX, USA

Abstract: 
 We are concerned with the existence and uniqueness of solutions to
 nonlocal boundary-value problems on an interval $[a,c]$ for the
 differential equation $y^{(n)}=f(x,y,y',\dots,y^{(n-1)})$,
 where $n\geq 3$. We use the method of matching solutions, with some
 monotonicity conditions on $f$.
	 
Submitted June 26, 2010. Published February 03, 2011.
Math Subject Classifications: 34B15, 34B10.
Key Words: Boundary value problem; nonlocal; matching solutions.