Abstract: In this paper, we establish existence and multiplicity results for a nonlinear boundary value problem with a real parameter under the Ambrosetti-Prodi type condition. The two proof of the theorem is based on the use of strict upper and lower solutions and on coincidence topological degree arguments

Key words: multiple solutions, strict upper and lower solutions, coincidence topological degeree

摘要： 利用严格上下解和迭合度论证了Ambrosetti．Prodi型条件下带参数的非线性边值问题多解的存在性，给出了两 个主要结果．

关键词: 多个解, 严格上下解, 迭合度