Optimal constants in a nonlocal boundary value problem

被引：42

作者：

Webb, JRL ^{[1
]}

机构：

[1] Univ Glasgow, Dept Math, Glasgow G12 8QW, Lanark, Scotland

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2005年 / 63卷 / 5-7期

关键词：

thermostat model; positive solutions; principal eigenvalue; optimal constants; SEMILINEAR DIFFERENTIAL-EQUATIONS; POSITIVE SOLUTIONS; SINGULARITIES;

D O I：

10.1016/j.na.2005.02.055

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We give improved results on the existence of positive solutions for a nonlinear differential equation with nonlocal boundary conditions, that arise as a model of a thermostat. We obtain some optimal criteria for the existence of one positive solution which involve the principal eigenvalue of a related linear operator. We also determine optimal values of some other constants that are useful in obtaining existence of multiple positive solutions. (c) 2005 Elsevier Ltd. All rights reserved.

引用

页码：672 / 685

页数：14

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