POSITIVE SOLUTIONS OF NEUMANN BOUNDARY VALUE PROBLEMS AND APPLICATIONS TO LOGISTIC TYPE POPULATION MODELS

被引：3

作者：

Cai, Ziyi ^{[1
]}

Lan, Kunquan ^{[1
]}

机构：

[1] Ryerson Univ, Dept Math, Toronto, ON M5B 2K3, Canada

来源：

TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS | 2022年 / 59卷 / 01期

基金：

加拿大自然科学与工程研究理事会;

关键词：

  Neumann boundary value problem; strictly positive solution; r-nowhere normal-outward map; one dimensional population model; FIXED-POINT INDEX; INDEFINITE WEIGHTS; EQUATIONS; EXISTENCE;

D O I：

10.12775/TMNA.2021.013

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the existence of nonzero nonnegative or strictly positive solutions of second order Neumann boundary value problems with nonlinearities which are allowed to take negative values via a recently established fixed point theorem for r-nowhere normal-outward maps in Banach spaces. As applications, we obtain results on the existence of strictly positive solutions for some models of population inhabiting one dimensional heterogeneous environments with perfect barriers, where the local rate of change in the population density changes sign.

引用

页码：35 / 52

页数：18

共 29 条

[1] FIXED-POINT EQUATIONS AND NONLINEAR EIGENVALUE PROBLEMS IN ORDERED BANACH-SPACES [J].