Please use this identifier to cite or link to this item:
https://ah.lib.nccu.edu.tw/handle/140.119/21808
DC Field | Value | Language |
---|---|---|
dc.contributor | 應數系 | en_US |
dc.creator | Tsai, Long-yi | zh_TW |
dc.date | 1994 | en_US |
dc.date.accessioned | 2009-01-05T05:14:49Z | - |
dc.date.available | 2009-01-05T05:14:49Z | - |
dc.date.issued | 2009-01-05T05:14:49Z | - |
dc.identifier.uri | https://nccur.lib.nccu.edu.tw/handle/140.119/21808 | - |
dc.description.abstract | The author considers the semilinear parabolic system (1) u˙k+Lkuk=fk(t,x,u,Hu,Ku), Bkuk=hk(t,x,u,H1u,K1u), k=1,⋯,n, where the Lk are elliptic operators in a bounded domain Ω, the Bk are Dirichlet, Neumann or mixed boundary operators, H is a linear nonlocal operator, K is a nonlocal memory operator, and H1, K1 are operators of the same type acting on the boundary of Ω. The comparison principle for a slightly more general system is given. This makes possible the use of a monotone scheme to prove existence and uniqueness for (1), provided the globally Lipschitz functions fk, gk are quasimonotone and lower and upper solutions exist. The method of vector-valued Lyapunov functions and the comparison principle yield the stability of the trivial solution to (1). Three examples demonstrate these stability results. | - |
dc.format | application/ | en_US |
dc.language | en | en_US |
dc.language | en-US | en_US |
dc.language.iso | en_US | - |
dc.relation | Proceedings Int. Math. Conf. \"94 on Diffential Rquations\r\nInternational Mathematics Conference `94 (Kaohsiung, 1994) (19960101), 203-217. | en_US |
dc.title | Comparison and Stability Results for Parabolic Integro-Differential Equations | en_US |
dc.type | conference | en |
item.grantfulltext | open | - |
item.openairecristype | http://purl.org/coar/resource_type/c_18cf | - |
item.languageiso639-1 | en_US | - |
item.openairetype | conference | - |
item.cerifentitytype | Publications | - |
item.fulltext | With Fulltext | - |
Appears in Collections: | 會議論文 |
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