Article citationsMore>>

Palamides, A.P. and Smyrlis, G. (2008) Positive Solutions to a Singular Third-Order Three-Point Boundary Value Problem with an Indefinitely Signed Green’s Function. Nonlinear Analysis: Theory, Methods & Applications, 68, 2104-2118.
https://doi.org/10.1016/j.na.2007.01.045

has been cited by the following article:

• 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.