With the help of the fixed point index theorem in cones, we get an existence theorem concerning the existence of positive solution for a second-order three-point eigenvalue problem , , where is a parameter. An illustrative example is given to demonstrate the effectiveness of the obtained result.
Chuanzhi Bai. "Positive Solutions for Second-Order Three-Point Eigenvalue Problems." Abstr. Appl. Anal. 2010 1 - 8, 2010. https://doi.org/10.1155/2010/236826