Existence of Multiple Solutions for Second-Order Problem with Stieltjes Integral Boundary Condition

• Published in: Journal of function spaces Vol. 2021; pp. 1 - 7
• Main Authors: Hu, Qing-Qing, Yan, Baoqiang
• Format: Journal Article
• Language: English
• Published: New York Hindawi 25.03.2021; John Wiley & Sons, Inc; Wiley
• Subjects: Applied mathematics; Banach spaces; Boundary conditions; Boundary value problems; Differential equations; Stieltjes integral

In this paper, we consider the existence of multiple solutions for second-order equation with Stieltjes integral boundary condition using the three-critical-point theorem and variational method. Firstly, a novel space is established and proved to be Hilbert one. Secondly, based on the above work, we...