Triple solutions of complementary Lidstone boundary value problems via fixed point theorems

• Main Author: Wong, Patricia Jia Yiing
• Other Authors: School of Electrical and Electronic Engineering
• Format: Article
• Language: English
• Published: 2014
• Subjects: DRNTU::Engineering::Electrical and electronic engineering
• Online Access: https://hdl.handle.net/10356/101709; http://hdl.handle.net/10220/19750
• Institution: Nanyang Technological University

We consider the following complementary Lidstone boundary value problem: (−1) m y (2m+1) (t)=F(t,y(t),y ′ (t)),t∈[0,1], y(0)=0,y (2k−1) (0)=y (2k−1) (1)=0,1≤k≤m. By using fixed point theorems of Leggett-Williams and Avery, we offer several criteria for the existence of three positiv...