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    • Prosiding Sempoa : Seminar Nasional, Pameran Alat Peraga, dan Olimpiade Matematika 4 2018
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    Semigrup Operator Linier Terbatas untuk Menyelesaikan Masalah Cauchy Abstrak

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    Date
    2018-05
    Author
    Winartomo, Windi
    Hariyanto, Susilo
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    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.
    URI
    http://hdl.handle.net/11617/10135
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    • Prosiding Sempoa : Seminar Nasional, Pameran Alat Peraga, dan Olimpiade Matematika 4 2018

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