TITLE:
Existence of Positive Solutions for a Fourth-Order Three-Point BVP with Sign-Changing Green’s Function
AUTHORS:
Alhussein Mohamed
KEYWORDS:
Fourth-Order Fourth-Point Boundary Value Problem, Function, Positive Solution, Existence, Fixed Point Greens Function
JOURNAL NAME:
Applied Mathematics,
Vol.12 No.4,
April
22,
2021
ABSTRACT: In this article, by using a fixed point theorem, we study following fourth-order three-point BVP:
where f ∈ C([0,1]×[0,+∞),[0,+∞)) α ∈ [0,6) and . The main point to emphasize is that although the corresponding Green’s function is changing signs, by applying the fixed point theorem, we can still obtain at least two positive solutions and degreased solutions under certain suitable conditions.