Upper-lower solutions for nonlinear parabolic systems and their applications

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:378

Article

Abudiab, Mufid²  Ahn, Inkyung¹  Li, Lige³ 

[1] Korea Univ, Dept Math, Jochiwon 339700, South Korea

[2] Texas A&M Univ, Dept Math, Corpus Christi, TX 78412 USA

[3] Kansas State Univ, Dept Math, Manhattan, KS 66506 USA

关键词: Upper-lower solutions;    Nonlinear parabolic systems;    Nonlinear boundary conditions;    Positive solutions;    Non-quasi-monotonicity;    Immune cells;    Stem cells;    HIV infection;    omega-Limit;   

DOI  :  10.1016/j.jmaa.2011.01.003

来源: Elsevier

【 摘 要 】

The method of upper-lower solutions for nonlinear parabolic systems without the assumption of quasi-monotonicity is obtained. An application is provided, by using the method developed in this paper, involving the existence of positive solutions to certain time-dependent interaction systems arising in biological and medical sciences. Furthermore, the existence of the omega-limit of given system is studied. (C) 2011 Elsevier Inc. All rights reserved.

【 授权许可】

Free