POSITIVE SOLUTIONS FOR SINGULAR BVPs ON THE POSITIVE HALF-LINE ARISING FROM EPIDEMIOLOGY AND COMBUSTION THEORY

被引：8

作者：

Djebali, Smail ^{[3
]}

Saifi, Ouiza ^{[2
]}

Yan Baoqiang ^{[1
]}

机构：

[1] Shandong Normal Univ, Dept Math, Jinan 250014, Peoples R China

[2] Algiers Univ, Dept Econ, Fac Econ & Management Sci, Algiers, Algeria

[3] ENS, Dept Math, Algiers 16050, Algeria

来源：

ACTA MATHEMATICA SCIENTIA | 2012年 / 32卷 / 02期

关键词：

Fixed points index; positive solution; singular problem; cone; lower and upper solution; half-line; BOUNDARY-VALUE-PROBLEMS; NONLINEARITIES;

D O I：

10.1016/S0252-9602(12)60048-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this work, we are concerned with the existence and multiplicity of positive solutions for singular boundary value problems on the half-line. Two problems from epidemiology and combustion theory set on the positive half-line are investigated. We use upper and lower solution techniques combined with fixed point index on cones in appropriate Banach spaces. The results complement recent ones in the literature.

引用

页码：672 / 694

页数：23

共 15 条

[1]

[Anonymous], 1973, Integral Equations and Stability of Feedback Systems

[2]

[Anonymous], 1985, NONLINEAR FUNCTIONAL

[3]

Djebali S., 2006, Electron. J. Qual. Theor. Differ. Eqs., V2006, P1

[4]

Djebali S., 2007, Comm. Appl. Nonlinear Anal, V14, P13