Article ID Journal Published Year Pages File Type
4618436 Journal of Mathematical Analysis and Applications 2011 14 Pages PDF
Abstract

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 ω-limit of given system is studied.

Related Topics
Physical Sciences and Engineering Mathematics Analysis