Article Per Year (5 Year)
p-Index From 2021 - 2026
0.23
P-Index
This Author published in this journals
All Journal MATEMATIKA Journal of Entrepreneurship and Financial Technology
Susilo Haryanto
Unknown Affiliation
Computer Science & IT Economics, Econometrics & Finance Industrial & Manufacturing Engineering Mathematics Social Sciences

Published : 3 Documents Claim Missing Document
Claim Missing Document
Check
Articles

Found 2 Documents
Search
Journal : MATEMATIKA

 1 
REDUKSI MASALAH CAUCHY ABSTRAK DEGENERATE KE MASALAH CAUCHY ABSTRAK NONDEGENERATE Haryanto, Susilo
MATEMATIKA Vol 8, No 1 (2005): JURNAL MATEMATIKA
Publisher : MATEMATIKA

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (51.811 KB)

Abstract

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 . 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.  
APLIKASI SEMIGRUP OPERATOR LINEAR PADA PENYESELESAIAN MASALAH CAUCHY ABSTRAK DEGENERATE HOMOGEN Haryanto, Susilo
MATEMATIKA Vol 19, No 1 (2016): Jurnal Matematika
Publisher : MATEMATIKA

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (66.74 KB)

Abstract

In this article, we will investigate how to apply the linear operator semigroup to solve the abstract degenerate Cauchy problem. The problem is treated under  the assumption that the Hilbert space of the system can be written as a direct sum of  the kernel of M (KerM ) and the range of adjointM (RanM*). By certain assumptions this problem can be reduced into nondegenerate Cauchy problem. By assumptions the operator A is a infinitesimal generator, the canonic problem has a unique solution.  And then by using the particular operator, any solution of nondegenerate problem can be mapped to the solution of degenerate Cauchy problem.  
Co-Authors