%0 Journal Article
%T Existence of three solutions for a higher-order boundary-value problem
%A John R. Graef
%A Lingju Kong
%A Qingkai Kong
%J Electronic Journal of Differential Equations
%D 2009
%I Texas State University
%X We consider a higher-order multi-point boundary-value problem with a nonlinear boundary condition. Sufficient conditions are obtained for the existence of three solutions. In our problem, the differential equation has dependence on all lower order derivatives of the unknown function and the boundary condition covers many multi-point boundary conditions studied earlier by other authors. Our results extend some recent work in the literature.
%K Solutions
%K boundary value problems
%K lower and upper solutions
%K Nagumo condition
%K degree theory
%U http://ejde.math.txstate.edu/conf-proc/17/g1/abstr.html