关键词: Kirchhoff型方程, 正解, 不动点定理, 双调和方程

Abstract: By using the fixed point theorem, the author study the existence of radial positive solutions for the boundary value problem of the Kirchhoff type biharmonic equation. When the nonlinear term f satisfies appropriate  conditions, the author proves that there is  at least one radial positive solution to the problem.

Key words: Kirchhoff type equation, positive solution, fixed point theorem, biharmonic equation