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https://hdl.handle.net/1959.11/4251| Title: | Remarks on the uniqueness problem for the logistic equation on the entire space | Contributor(s): | Du, Yihong (author) ; Liu, Lishan (author) |
Publication Date: | 2006 | DOI: | 10.1017/S0004972700038685 | Handle Link: | https://hdl.handle.net/1959.11/4251 | Abstract: | We show that this problem has a unique positive solution. This considerably improves some earlier results. The main new technique here is a Safonov type iteration argument. The result can also be proved by a technique introduced by Marcus and Veron, and the two different techniques are compared. | Publication Type: | Journal Article | Source of Publication: | Bulletin of the Australian Mathematical Society, v.73, p. 129-137 | Publisher: | Cambridge University Press | Place of Publication: | Australia | ISSN: | 0004-9727 | Fields of Research (FoR) 2008: | 010109 Ordinary Differential Equations, Difference Equations and Dynamical Systems | Socio-Economic Objective (SEO) 2008: | 970101 Expanding Knowledge in the Mathematical Sciences | Peer Reviewed: | Yes | HERDC Category Description: | C1 Refereed Article in a Scholarly Journal |
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| Appears in Collections: | Journal Article School of Science and Technology |
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