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In this paper, we consider the nonlinear eigenvalue problems$$\gatheru''+\lambda h(t)f(u)=0, \quad 0 0$ for$i=1,\ldots,m-2$, with $\sum_{i=1}^{m-2}\alpha_i\eta_i 0$ for $t_0\in [0,1]$; $f\in C([0,\infty),[0,\infty))$ and$f(s)> 0$ for $s> 0$, and $f_0=\infty$, where $f_0=\lim_{s\rightarrow0^+}f(s)/s$. We investigate the global structure of positivesolutions by using the nonlinear Krein-Rutman Theorem.

Global structure of positive solutions for superlinear second order $m$-point boundary value problems