| dc.contributor | 應數系 | - |
| dc.creator (作者) | Fu, Sheng-Chen | - |
| dc.creator (作者) | 符聖珍 | zh_TW |
| dc.creator (作者) | Guo, Jong-Shenq | en_US |
| dc.creator (作者) | Chen, Xinfu | en_US |
| dc.date (日期) | 2006 | - |
| dc.date.accessioned | 1-Feb-2016 16:07:02 (UTC+8) | - |
| dc.date.available | 1-Feb-2016 16:07:02 (UTC+8) | - |
| dc.date.issued (上傳時間) | 1-Feb-2016 16:07:02 (UTC+8) | - |
| dc.identifier.uri (URI) | http://nccur.lib.nccu.edu.tw/handle/140.119/81031 | - |
| dc.description.abstract (摘要) | 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 (關聯) | SIAM Journal on Mathematical Analysis, 38(1), 233-258 | - |
| dc.subject (關鍵詞) | degenerate;lattice dynamics;monostable;traveling wave | - |
| dc.title (題名) | UNIQUENESS AND ASYMPTOTICS OF TRAVELING WAVES OF MONOSTABLE DYNAMICS ON LATTICES | - |
| dc.type (資料類型) | article | - |
| dc.identifier.doi (DOI) | 10.1137/050627824 | - |
| dc.doi.uri (DOI) | http://dx.doi.org/10.1137/050627824 | - |
