一类拟线性常微分方程的多解(英文)  

Multiple Solutions for a Class of Quasilinear Ordinary Differential Equations

作　　者：张辉[1] 郭宗明[2] 

机构地区：[1]中国科学院数学与系统科学研究院,北京100080 [2]河南师范大学数学系,河南新乡453002

出　　处：《应用泛函分析学报》2000年第3期228-246,共19页Acta Analysis Functionalis Applicata

基　　金：Supported by the Youth Founctions of National Education Committee of China and the Committee on Science and Technology of Henan

摘　　要：说明一类拟线性特征值问题有两个正解 ;一个大解 ,一个小解 .同时本文也证明小解是一个山路解当参数大时发展成为尖解 .It is shown that there are exactly two positive solutions for a class of quasilinear eigenvalue problems; one is a large solution, another one is a small solution. It is also proved that the small solution is a mountain pass solution and it develops to a peak solution when the parameter is large.

关 键 词：特征值问题 大解 小解 尖解 山路解 拟线性常微分方程 多解 

分 类 号：O175.1[理学—数学]