METODE PENYELESAIAN MASALAH CAUCHY DEGENERATE NONHOMOGEN MELALUI PENYELESAIAN MASALAH CAUCHY NONDEGENERATE NONHOMOGEN
Main Author: | Hariyanto, Susilo |
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Format: | Article PeerReviewed application/pdf |
Terbitan: |
JURUSAN MATEMATIKA FMIPA
, 2008
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Subjects: | |
Online Access: |
http://eprints.undip.ac.id/1957/2/6._Susilo_H..pdf http://eprints.undip.ac.id/1957/ |
Daftar Isi:
- In this article, we investigate how to solve abstract degenerate Cauchy problems nonhomogen via abstract nondegenerate Cauchy problems nonhomogen. The problem are discussed in the Hilbert space H which can be written as an orthogonal direct sum of Ker M and . Under certain assumptions it is possible to reduce the problems to an equivalent nondegenerate Cauchy problem in the factor space H/Ker M which can be easier to solve. Moreover we defines an operator ZA which maps the solutions of abstract nondegenerate Cauchy problems nonhomogen to abstract degenerate Cauchy problems nonhomogen