The following information was submitted:
Transactions: WSEAS TRANSACTIONS ON MATHEMATICS
Transactions ID Number: 89-187
Full Name: Wei Dong
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Age: ON
Sex: Male
Address: 199 south Guangming street Hebei University of Engineering, Handan Hebei
Country: CHINA
Tel: 86-310-8579711
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E-mail address: wdongau@yahoo.com.cn
Other E-mails: dangchhua@yahoo.com.cn
Title of the Paper: Uniqueness of Positive Solutions for Degenerate Logistic Neumann Problems in a Half Space
Authors as they appear in the Paper: Wei Dong, Tieguo Ji
Email addresses of all the authors: wdongau@yahoo.com.cn, rosemary1976@163.com
Number of paper pages: 11
Abstract: In this paper, we consider the existence and uniqueness positive solutions of the following boundary Neumann problem in a half space on where and are continuous functions with non-negative on and is outward pointing unit normal vector of we show that under rather general conditions on and for large and behaves like , where constant , the above problems possesses a minimal positive solution and a maximal positive solution, respectively, Moreover, we establish a relationship between the above problem and the following problem We establish a comparison principal which our proof of the existence results rely essentially on and make use of a rather intuitive squeezing method to get the existence theorems. Furthermore, by analyzing the behavior of the positive solution for the problem in whole space, we show the boundary Neumann problem in half space has only one positive solution. Our results improve the previous works.
Keywords: Sub-super solution, Neumann problem, Comparison principle, Degenerate logistic, Positive solutions
EXTENSION of the file: .doc
Special (Invited) Session: Existence and Uniqueness of Positive Solutions for Degenerate Logistic Neumann Problems in a Half Space
Organizer of the Session: 697-247
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