Uniqueness of positive solutions for some nonlinear fourth-order equations

被引：31

作者：

Dalmasso, R

机构：

[1] Laboratoire LMC-IMAG, Equipe EDP, Tour IRMA, F-38041, Grenoble Cedex 9

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 1996年 / 201卷 / 01期

关键词：

D O I：

10.1006/jmaa.1996.0247

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we study the uniqueness question of positive solutions of the two point boundary value problem: u((4))(t) = f(u(t)), -R < t < R, u(+/-R) = u'(+/-R) = 0, where R > 0 is fixed and f:[0,infinity) --> [0,infinity) is in C-1. A uniqueness result is proved when f satisfies 0 < f(u) < uf'(u) for u > 0. Some examples are also given. (C) 1996 Academic Press, Inc.

引用

页码：152 / 168

页数：17

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