Positive solutions of three-point nonlinear second order boundary value problem

Autor: Youssef Raffoul
Jazyk: angličtina
Rok vydání: 2002
Předmět:
Zdroj: Electronic Journal of Qualitative Theory of Differential Equations, Vol 2002, Iss 15, Pp 1-11 (2002)
Druh dokumentu: article
ISSN: 1417-3875
DOI: 10.14232/ejqtde.2002.1.15
Popis: In this paper we apply a cone theoretic fixed point theorem and obtain conditions for the existence of positive solutions to the three-point nonlinear second order boundary value problem $$ u''(t)+\lambda a(t)f(u(t)) = 0, \;\;\;t\in(0,1)$$ $$u(0)=0,\;\;\;\; \alpha u(\eta)=u(1),$$ where $0
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