Eigenvalues and symmetric positive solutions for a three-point boundary-value problem

Autor:	Yongping Sun
Jazyk:	angličtina
Rok vydání:	2005
Předmět:	Symmetric positive solution three-point boundary-value problem Schauder fixed point theorem eigenvalue. Mathematics QA1-939
Zdroj:	Electronic Journal of Differential Equations, Vol 2005, Iss 127, Pp 1-7 (2005)
Druh dokumentu:	article
ISSN:	1072-6691
Popis:	In this paper, we consider the second-order three-point boundary-value problem $$displaylines{ u''(t)+f(t,u,u',u'')=0,quad 0leq tleq 1,cr u(0)=u(1)=alpha u(eta). }$$ Under suitable conditions and using Schauder fixed point theorem, we prove the existence of at least one symmetric positive solution. We also study the existence of positive eigenvalues for this problem. We emphasis the highest-order derivative occurs nonlinearly in our problem.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/1f867682ac18447e8e46e72fbe32e0f0 Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF