Positive solutions of a logistic equation on unbounded intervals

被引：6

作者：

Ma, L ^{[1
]}

Xu, XW

机构：

[1] Tsing Hua Univ, Dept Math Sci, Beijing 100084, Peoples R China

[2] Natl Univ Singapore, Dept Math, Singapore 119260, Singapore

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2002年 / 130卷 / 10期

关键词：

direct method; blow-up; positive solution;

D O I：

10.1090/S0002-9939-02-06405-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the existence of positive solutions of a one-parameter family of logistic equations on R+ or on R. These equations are stationary versions of the Fisher equations and the KPP equations. We also study the blow-up region of a sequence of the solutions when the parameter approaches a critical value and the non-existence of positive solutions beyond the critical value. We use the direct method and the sub and super solution method.

引用

页码：2947 / 2958

页数：12

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