Eigenvalues of complementary Lidstone boundary value problems

• Main Authors: Agarwal, Ravi P., 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/10356/103280; http://hdl.handle.net/10220/18604
• Institution: Nanyang Technological University

We consider the following complementary Lidstone boundary value problem (−1)my(2m+1)(t)=λF(t,y(t),y′(t)),t∈(0,1)y(0)=0,y(2k−1)(0)=y(2k−1)(1)=0,1≤k≤m where λ > 0. The values of λ are characterized so that the boundary value problem has a positive solution. Moreover, we derive explicit interval...