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Please use this identifier to cite or link to this item: https://digital.lib.ueh.edu.vn/handle/UEH/56261
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dc.contributor.authorLe Thi Phuong Ngoc-
dc.contributor.otherTran Minh Thuyet-
dc.contributor.otherPham Thanh Son-
dc.contributor.otherNguyen Thanh Long-
dc.date.accessioned2017-11-03T10:13:47Z-
dc.date.available2017-11-03T10:13:47Z-
dc.date.issued2011-
dc.identifier.issn0251-4184 (Print), 2315-4144 (Online)-
dc.identifier.urihttp://journals.math.ac.vn/acta/images/stories/pdf1/Vol_36_No_2/Bai15_Ngoc_Thuyet_Son_Long_2010_63.pdf-
dc.identifier.urihttp://digital.lib.ueh.edu.vn/handle/UEH/56261-
dc.description.abstractConsider the initial-boundary value problem for the nonlinear wave equation utt − µ(t)uxx + K|u| p−2u + λ|ut| q−2ut = F(x, t), 0 < x < 1, 0 < t < T, µ(t)ux(0, t) = K0u(0, t) + Rt 0 k (t − s) u (0, s) ds + g(t), −µ(t)ux(1, t) = K1u(1, t) + λ1|ut(1, t)| α−2ut(1, t), u(x, 0) = ue0(x), ut(x, 0) = ue1(x), where p, q, α ≥ 2; K0, K1, K ≥ 0; λ, λ1 > 0 are given constants and µ, F, g, k, ue0, ue1, are given functions. First, the existence and uniqueness of a weak solution are proved by using the Galerkin method. Next, with α = 2, we obtain an asymptotic expansion of the solution up to order N in two small parameters λ, λ1 with error p λ2 + λ 2 1 N+ 1 2 .en
dc.formatPortable Document Format (PDF)-
dc.language.isoeng-
dc.publisherSpinger-
dc.relation.ispartofACTA Mathematica Vietnamica-
dc.relation.ispartofseriesVol. 36, No.2-
dc.rightsSpringer International Publishing AG.-
dc.subjectGalerkin methoden
dc.subjectA priori estimatesen
dc.subjectAsymptotic expansion of the solution up to order Nen
dc.titleOn a nonlinear wave equation with a nonlocal boundary conditionen
dc.typeJournal Articleen
dc.format.firstpage345-
dc.format.lastpage374-
ueh.JournalRankingScopus-
item.cerifentitytypePublications-
item.fulltextOnly abstracts-
item.languageiso639-1en-
item.grantfulltextnone-
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
item.openairetypeJournal Article-
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