Triple positive solutions for a class of two-point boundary-value problems. A fundamental approach

• Published in: Нелінійні коливання
• Date: 2012
• Main Authors: Palamides, P.K., Palamides, A.P.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2012
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/175589
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Triple positive solutions for a class of two-point boundary-value problems. A fundamental approach / P.K. Palamides, A.P. Palamides // Нелінійні коливання. — 2012. — Т. 15, № 2. — С. 233-243. — Бібліогр.: 21 назв. — англ.

In this paper, we prove the existence of three positive and concave solutions, by means of an elementary simple approach, to the 2th order two-point boundary-value problem x''(t) = α(t)f(t, x(t), x'(t)), 0 < t < 1, x(0) = x(1) = 0,. We rely on a combination of the analysis of...