关键词: 特征值, Kirchhoff型梁方程, 全局分歧, 结点解

Abstract: By using the bifurcation method, the author study the bifurcation behavior of nodal solutions for two-point boundary value problems of fourth-order Kirchhoff type beam equation. When M and f satisfy suitable conditions, the author obtain  the existence results of their nodal solutions.

Key words: eigenvalue, Kirchhoff type beam equation, global bifurcation, nodal solution