Upper-lower solutions for nonlinear parabolic systems and their applications

Abudiab, Mufid; Ahn, Inkyung; Li, Lige

doi:10.1016/j.jmaa.2011.01.003

상세 보기

Upper-lower solutions for nonlinear parabolic systems and their applications

Abudiab, Mufid;
Ahn, Inkyung;
Li, Lige

Citations

WEB OF SCIENCE

4

Citations

SCOPUS

4

초록

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.

키워드

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

제목: Upper-lower solutions for nonlinear parabolic systems and their applications

저자: Abudiab, Mufid; Ahn, Inkyung; Li, Lige

DOI: 10.1016/j.jmaa.2011.01.003

발행일: 2011-06-15

유형: Article

저널명: Journal of Mathematical Analysis and Applications

권: 378

호: 2

페이지: 620 ~ 633