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dc.contributor.authorWinartomo, Windi
dc.contributor.authorHariyanto, Susilo
dc.date.accessioned2018-07-14T01:15:59Z
dc.date.available2018-07-14T01:15:59Z
dc.date.issued2018-05
dc.identifier.citation[1] Arent, Wolfang, dkk. 2001. Vector-valued Laplace Transforms and Cauchy Problems. Basel; Boston; Berlin: Birkhauser Verlag. [2] F. Kappel, W. Schappacher: Strongly continuous semigroups–an introduction, preprint. 5. [3] Perko, Lawrence. 2001. Differential Equations and Dynamical Systems-3rd ed. New York: Springer-Verlag. [4] Darmawijaya, Soeparna. 2007. Pengantar Analisis Abstrak. UGM, Yogyakarta.id_ID
dc.identifier.issn2528-4630
dc.identifier.urihttp://hdl.handle.net/11617/10135
dc.description.abstractThe abstract Cauchy problem in the form of a linear system, x(t)=Tx(t),x(0)=x0,t≥0 with T is a bounded linear operator. The problem is a common form of linear system, x(t)=Ax(t),x(0)=x0,t≥0 with A is a square matrix having an inverse. Since the matrix has an inverse it can be formed into a bounded linear operator that satisfies semigroups properties. Each MCA formed into semigroups of bounded linear operator always has a unique solution,x(t)=eAtx0 for each tϵR.id_ID
dc.language.isootherid_ID
dc.publisherProsiding SEMPOA (Seminar Nasional, Pameran Alat Peraga, dan Olimpiade Matematika) 4 2018id_ID
dc.subjectabstract cauchy problemid_ID
dc.subjectlinear systemid_ID
dc.subjectmatrix operatorid_ID
dc.subjectbounded linear operatorid_ID
dc.subjectsemigroupsid_ID
dc.titleSemigrup Operator Linier Terbatas untuk Menyelesaikan Masalah Cauchy Abstrakid_ID
dc.typeArticleid_ID


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