dc.contributor.author | Winartomo, Windi | |
dc.contributor.author | Hariyanto, Susilo | |
dc.date.accessioned | 2018-07-14T01:15:59Z | |
dc.date.available | 2018-07-14T01:15:59Z | |
dc.date.issued | 2018-05 | |
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.issn | 2528-4630 | |
dc.identifier.uri | http://hdl.handle.net/11617/10135 | |
dc.description.abstract | The 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.iso | other | id_ID |
dc.publisher | Prosiding SEMPOA (Seminar Nasional, Pameran Alat Peraga, dan Olimpiade Matematika) 4 2018 | id_ID |
dc.subject | abstract cauchy problem | id_ID |
dc.subject | linear system | id_ID |
dc.subject | matrix operator | id_ID |
dc.subject | bounded linear operator | id_ID |
dc.subject | semigroups | id_ID |
dc.title | Semigrup Operator Linier Terbatas untuk Menyelesaikan Masalah Cauchy Abstrak | id_ID |
dc.type | Article | id_ID |