Geodesic
Nonlocal boundary-value problems for \(n\)-th order ordinary differential equations by matching solutions
Electronic journal of differential equations, Tome 2011 (2011)
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 $f$.
Classification : 34B15, 34B10
Keywords: boundary value problem, nonlocal, matching solutions 
@article{EJDE_2011__2011__a72,
     author = {Liu,  Xueyan},
     title = {Nonlocal boundary-value problems for \(n\)-th order ordinary differential equations by matching solutions},
     journal = {Electronic journal of differential equations},
     year = {2011},
     volume = {2011},
     zbl = {1211.34017},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2011__2011__a72/}
}
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Liu,  Xueyan. Nonlocal boundary-value problems for \(n\)-th order ordinary differential equations by matching solutions. Electronic journal of differential equations, Tome 2011 (2011). http://geodesic.mathdoc.fr/item/EJDE_2011__2011__a72/