Existence of positive solutions for the singular equation (φp(y'))' + g(t, y, y') = 0

• Published in: Нелінійні коливання
• Date: 2003
• Main Authors: Haishen, Lu, O'Regan, D., Chengkui Zhong
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2003
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/176160
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Existence of positive solutions for the singular equation (φp(y'))' + g(t, y, y') = 0 / Haishen Lu, D. O'Regan, Cheng-Kui Zhong // Нелінійні коливання. — 2003. — Т. 6, № 1. — С. 117-132. — Бібліогр.: 14назв. — англ.

Two theorems concerning the existence of positive solutions for the singular equation (φp(y'))'+g(t, y, y') = 0, y(0) = y(1) = 0, are presented. The results are obtained by using the nonlinear alternative of Leray – Schauder and the lower-upper solution method. Наведено двi теореми пр...