Positive Solutions for Systems of Singular Higher-Order Multi-Point Boundary Value Problems
Johnny Henderson
Department of Mathematics, Baylor University, Waco, Texas, 76798-7328 USA.
Rodica Luca *
Department of Mathematics, Gh. Asachi Technical University, Iasi 700506, Romania.
*Author to whom correspondence should be addressed.
Abstract
We study the existence of positive solutions of a system of higher-order nonlinear differential equations subject to multi-point boundary conditions, where the nonlinearities do not possess any sublinear or superlinear growth conditions and may be singular. In the proof of the main results, we use the Guo-Krasnosel'skii fixed point theorem.
Keywords: Higher-order differential system, singular equations, multi-point boundary conditions, positive solutions.