Please use this identifier to cite or link to this item:
https://ah.lib.nccu.edu.tw/handle/140.119/81031
DC Field | Value | Language |
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dc.contributor | 應數系 | - |
dc.creator | Fu, Sheng-Chen | - |
dc.creator | 符聖珍 | zh_TW |
dc.creator | Guo, Jong-Shenq | en_US |
dc.creator | Chen, Xinfu | en_US |
dc.date | 2006 | - |
dc.date.accessioned | 2016-02-01T08:07:02Z | - |
dc.date.available | 2016-02-01T08:07:02Z | - |
dc.date.issued | 2016-02-01T08:07:02Z | - |
dc.identifier.uri | http://nccur.lib.nccu.edu.tw/handle/140.119/81031 | - |
dc.description.abstract | Established here is the uniquenes of solutions for the traveling wave problem cU′(x) = U(x+1)+U(x-1)-2U(x)+f(U(x)), x ∈ ℝ, under the monostable nonlinearity: f ∈ C¹ ([0, 1]), f(0) = f(1) = 0 < f(s) ∀ s ∈ (0, 1). Asymptotic expansions for U(x) as x → ∞, accurate enough to capture the translation differences, are also derived and rigorously verified. These results complement earlier existence and partial uniqueness/stability results in the literature. New tools are also developed to deal with the degenerate case f′(0)f′(1) = 0, about which is the main concern of this article. | - |
dc.format.extent | 263929 bytes | - |
dc.format.mimetype | application/pdf | - |
dc.relation | SIAM Journal on Mathematical Analysis, 38(1), 233-258 | - |
dc.subject | degenerate;lattice dynamics;monostable;traveling wave | - |
dc.title | UNIQUENESS AND ASYMPTOTICS OF TRAVELING WAVES OF MONOSTABLE DYNAMICS ON LATTICES | - |
dc.type | article | - |
dc.identifier.doi | 10.1137/050627824 | - |
dc.doi.uri | http://dx.doi.org/10.1137/050627824 | - |
item.openairecristype | http://purl.org/coar/resource_type/c_18cf | - |
item.cerifentitytype | Publications | - |
item.fulltext | With Fulltext | - |
item.openairetype | article | - |
item.grantfulltext | open | - |
Appears in Collections: | 期刊論文 |
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233-258.pdf | 257.74 kB | Adobe PDF2 | View/Open |
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