%A ZHAO Jiao
%T Global structure of the set of positive solutions for a class of nonlinear third-order boundary value problems
%0 Journal Article
%D 2020
%J JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE)
%R 10.6040/j.issn.1671-9352.0.2020.179
%P 104-110
%V 55
%N 10
%U {http://lxbwk.njournal.sdu.edu.cn/CN/abstract/article_3355.shtml}
%8 2020-10-20
%X This paper considers the global structure of the set of positive solutions of nonlinear third-order ordinary differential equations boundary value problems{-u^{(3)}(t)=λf(t,u(t)), *a.e.* t∈［0,1］,u(0)=u'(0)=0, u'(1)=αu'(η),where *f*:［0,1］×R→［0,∞)is a L^{1}-Carathéodory function, 0*<η<*1*, *1*<α<*1*/η* are given constants. When *f* satisfies the linear growth condition, the paper obtains the global structure of the set of positive solutions of the problem by using Rabinowitz global bifurcation theorem.