Positive global solutions of nonlocal boundary value problems for the nonlinear convection reaction-diffusion equations

Boundary value problems

Baoqiang Yan¹  Tianfu Ma¹ 

[1] School of Mathematical Sciences, Shandong Normal University, Jinan, China

关键词: positive global solution;    nonlocal boundary value problems;    functional convection reaction-diffusion equation;    monotone iterative;    upper-lower solutions;    35B09;    35K57;    35R10;    35J57;    35K67;   

DOI  :  10.1186/s13661-016-0744-y

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, the nonlocal boundary value problems for a class of nonlinear functional convection reaction-diffusion equations with the singular reaction function are studied by using the method of upper and lower solutions and monotone iterative technique. Some of sufficient results on the existence and uniqueness of positive global solutions or positive solutions for the boundary value problems are presented, which are a generalization of some recent results in the area.

【 授权许可】

CC BY