Existence of solutions for second-order three-point integral boundary value problems at resonance
School of Nuclear Science and Technology, School of Mathematics and Physics, University of South China, Hengyang, 421001, P.R. China
Boundary Value Problems 2013, 2013:197 doi:10.1186/1687-2770-2013-197Published: 3 September 2013
A class of second-order three-point integral boundary value problems at resonance is investigated in this paper. Using intermediate value theorems, we obtain a sufficient condition for the existence of the solution for the equation. An example is given to demonstrate our main results.
MSC: 34B10, 34B16, 34B18.