一类非线性边值问题Ambrosetti—Prodi型
条件下多解的存在性

重庆交通大学学报（自然科学版） ›› 2005, Vol. 24 ›› Issue (2): 155-157.

一类非线性边值问题Ambrosetti—Prodi型条件下多解的存在性

冯春

重庆交通学院数学与应用数学研究所，重庆400074

收稿日期:2004-03-25 出版日期:2005-04-15 发布日期:2015-05-18
作者简介:冯春(1963一)，女，l~IJll南充市人，副教授，主要从事微分方程理论的研究．

The existence of multiplicity solutions for nonlinear boundary value problem under the ambrosetti-prodi type condition

FENG Chun

Institute of Mathematics and Applied Mathematics, Chongqing Jiaotong University,Chongqing 400074,China

Received:2004-03-25 Online:2005-04-15 Published:2015-05-18

摘要/Abstract

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

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

中图分类号:

0175．8

冯春. 一类非线性边值问题Ambrosetti—Prodi型条件下多解的存在性[J]. 重庆交通大学学报（自然科学版）, 2005, 24(2): 155-157.

FENG Chun. The existence of multiplicity solutions for nonlinear boundary value problem under the ambrosetti-prodi type condition[J]. Journal of Chongqing Jiaotong University(Natural Science), 2005, 24(2): 155-157.