Author(s)

Qiufeng Chen¹, Jianli Li²

¹Key Laboratory of High Performance Computing and Stochastic Information Processing (HPCSIP), Changsha, China.
²School of Mathematics and Statistics, Hunan Normal University, Changsha, China.

In this paper, we study the existence of positive solutions for a class of third-order three-point boundary value problem. By employing the fixed point theorem on cone, some new criteria to ensure the three-point boundary value problem has at least three positive solutions are obtained. An example illustrating our main result is given. Moreover, some previous results will be improved significantly in our paper.

Third-Order Three-Point Boundary Value Problem, Fixed Point Theorem, Three Positive Solutions

Chen, Q. and Li, J. (2019) Existence of Multiple Positive Solutions for Third-Order Three-Point Boundary Value Problem. Journal of Applied Mathematics and Physics, 7, 1463-1472. doi: 10.4236/jamp.2019.77098.