Author(s)

Xingfang Feng^1,2*, Hanying Feng³

¹Department of Science and Culture, Shijiazhuang Branch, Army Engineering University of PLA, Shijiazhuang, China.
²Department of Mathematics, Hebei Normal University, Shijiazhuang, China.
³Department of Mathematics, Nantong Institute of Technology, Nantong, China.

In this paper, we investigate the existence of positive solutions for a singular third-order three-point boundary value problem with a parameter. By using fixed point index theory, some existence, multiplicity and nonexistence results for positive solutions are derived in terms of different values of λ.

Three-Point Boundary Value Problem, Fixed Point Index, Positive Solution, Existence, Multiplicity

Feng, X. and Feng, H. (2022) Existence and Multiplicity of Positive Solutions for a Singular Third-Order Three-Point Boundary Value Problem with a Parameter. Journal of Applied Mathematics and Physics, 10, 1146-1157. doi: 10.4236/jamp.2022.104080.