Global structure of positive solutions for three-point boundary value problems
1 Department of Mathematics, Ningbo University, Ningbo, 315211, P.R. China
2 Department of Mathematics and Physics, Beijing Institute of Petrochemical Technology, Beijing, 102617, P.R. China
Boundary Value Problems 2013, 2013:174 doi:10.1186/1687-2770-2013-174Published: 25 July 2013
In this paper, we are concerned with the three-point boundary value problem for second-order differential equations
where , , and ; and , satisfies for . The existence of the continuum of a positive solution is established by utilizing the Leray-Schauder global continuation principle. Furthermore, the interval of α about the nonexistence of a positive solution is also given.
MSC: 34B10, 34B18, 34G20.