REDUKSI MASALAH CAUCHY ABSTRAK DEGENERATE KE MASALAH CAUCHY ABSTRAK NONDEGENERATE
| Main Author: | Susilo Hariyanto, Susilo Hariyanto |
|---|---|
| Format: | Article PeerReviewed application/pdf |
| Terbitan: |
Jurusan Matematika Lt. 2 FMIPA Universitas Diponegoro Semarang
, 2005
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| Subjects: | |
| Online Access: |
http://eprints.undip.ac.id/2326/1/6_Susilo_H.pdf http://eprints.undip.ac.id/2326/ |
Daftar Isi:
- In this article, we investigate how to reduce an abstract degenerate Cauchy problem to an abstract nondegenerate Cauchy problems. This problem is discussed in the Hilbert space which can be writen as an orthogonal direct sum of Ker M and RanM . Under certain assumptions, abstract degenerate Cauchy problems can be reduced to abstract nondegenerate Cauchy problems which is easier to solve. If we have a solution of abstract nondegenerate Cauchy problem, then using certain transformation we can find the solution of abstract degenerate Cauchy problems.