Positive solutions of a three point boundary value problem

• Published in: Нелинейные граничные задачи
• Date: 2000
• Main Author: Webb, J.R.L.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2000
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/169260
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Positive solutions of a three point boundary value problem / J.R.L. Webb // Нелинейные граничные задачи: сб. науч. тр. — 2000. — Т. 10. — С. 208-212. — Бібліогр.: 10 назв. — англ.

We establish existence of positive solutions of some boundary value problems for a second order semilinear ordinary differential equation u" + g(t)f(u) = 0 on [0,1]. The boundary conditions involve three points, 0 ‹ η ‹ 1. The conditions on f strictly include the sub- and super-linear cases....