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

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 $ngeq 3$. We use the method of matching solutions, with some monotonicity conditions on $f$.

Bibliographic Details
Main Author: Xueyan Liu
Format: Article
Language:English
Published: Texas State University 2011-02-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2011/17/abstr.html