Positive global solutions of nonlocal boundary value problems for the nonlinear convection reaction-diffusion equations
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- 作者：Tianfu Ma ; Baoqiang Yan
- 关键词：positive global solution ; nonlocal boundary value problems ; functional convection reaction ; diffusion equation ; monotone iterative ; upper ; lower solutions
- 刊名：Boundary Value Problems
- 出版年：2017
- 出版时间：December 2017
- 年：2017
- 卷：2017
- 期：1
- 全文大小：1328KB
- 刊物主题：Difference and Functional Equations; Ordinary Differential Equations; Partial Differential Equations; Analysis; Approximations and Expansions; Mathematics, general;
- 出版者：Springer International Publishing
- ISSN：1687-2770
- 卷排序：2017
文摘
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.