Multiple solutions for systems of differential equations with nonlinear boundary conditions

• Main Authors: Jutarat Kongson, Bevan Thompson, Yongwimon Lenbury
• Other Authors: Mahidol University
• Format: Article
• Published: 2018
• Subjects: Mathematics
• Online Access: https://repository.li.mahidol.ac.th/handle/123456789/12123

We establish the existence of three solutions in admissible bounding sets for systems of nonlinear differential equations of the form y'' = f (x;y;y'), x Ie ∈ [0;1] satisfying the fully nonlinear boundary conditions g((y(0);y(1)); (y'(0);y'(1))) = 0: We assume that f and g a...