Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4618436 | Journal of Mathematical Analysis and Applications | 2011 | 14 Pages |
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.
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