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

doi:10.1016/S0252-9602(12)60048-4

数学物理学报(英文版) ›› 2012, Vol. 32 ›› Issue (2): 672-694.doi: 10.1016/S0252-9602(12)60048-4

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

Smaïl Djebali|Ouiza Saïfi|闫宝强*

Department of Mathematics, E.N.S., P.O. Box 92, 16050 Kouba. Algiers, Algeria； Department of Economics, Faculty of Economic and Management Sciences, Algiers University, Algeria； Department of Mathematics, Shandong Normal University, Jinan 250014, China

收稿日期:2009-11-19 修回日期:2011-02-14 出版日期:2012-03-20 发布日期:2012-03-20
通讯作者: 闫宝强，yanbqcn@yahoo.com.cn E-mail:djebali@ens-kouba.dz；saifi-kouba@yahoo.fr；yanbqcn@yahoo.com.cn

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

Smaïl Djebali, Ouiza Saïfi, YAN Bao-Qiang*

Department of Mathematics, E.N.S., P.O. Box 92, 16050 Kouba. Algiers, Algeria； Department of Economics, Faculty of Economic and Management Sciences, Algiers University, Algeria； Department of Mathematics, Shandong Normal University, Jinan 250014, China

Received:2009-11-19 Revised:2011-02-14 Online:2012-03-20 Published:2012-03-20
Contact: YAN Bao-Qiang，yanbqcn@yahoo.com.cn E-mail:djebali@ens-kouba.dz；saifi-kouba@yahoo.fr；yanbqcn@yahoo.com.cn

摘要/Abstract

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 epi-demiology 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 appro-priate Banach spaces. The results complement recent ones in the literature.

关键词: Fixed points index, positive solution, singular problem, cone, lower and upper solution, half-line

Abstract:

Key words: Fixed points index, positive solution, singular problem, cone, lower and upper solution, half-line

中图分类号:

34B15

Sma?l Djebali, Ouiza Sa?fi, 闫宝强. POSITIVE SOLUTIONS FOR SINGULAR BVPs ON THE POSITIVE HALF-LINE ARISING FROM EPIDEMIOLOGY AND COMBUSTION THEORY[J]. 数学物理学报(英文版), 2012, 32(2): 672-694.

Sma?l Djebali, Ouiza Sa?fi, YAN Bao-Qiang. POSITIVE SOLUTIONS FOR SINGULAR BVPs ON THE POSITIVE HALF-LINE ARISING FROM EPIDEMIOLOGY AND COMBUSTION THEORY[J]. Acta mathematica scientia,Series B, 2012, 32(2): 672-694.

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

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

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