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Upper-lower solutions for nonlinear parabolic systems and their applications
- Authors
- Abudiab, Mufid; Ahn, Inkyung; Li, Lige
- Issue Date
- 15-6월-2011
- Publisher
- ACADEMIC PRESS INC ELSEVIER SCIENCE
- Keywords
- Upper-lower solutions; Nonlinear parabolic systems; Nonlinear boundary conditions; Positive solutions; Non-quasi-monotonicity; Immune cells; Stem cells; HIV infection; omega-Limit
- Citation
- JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, v.378, no.2, pp.620 - 633
- Indexed
- SCIE
SCOPUS
- Journal Title
- JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
- Volume
- 378
- Number
- 2
- Start Page
- 620
- End Page
- 633
- ISSN
- 0022-247X
- 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 omega-limit of given system is studied. (C) 2011 Elsevier Inc. All rights reserved.
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Related Researcher
- Ahn, In Kyung
- 과학기술대학 (응용수리과학부 데이터계산과학전공)