Article Per Year (5 Year)
p-Index From 2019 - 2024
0.61
P-Index
This Author published in this journals
All Journal MATEMATIKA SAINS DAN MATEMATIKA CAUCHY: Jurnal Matematika Murni dan Aplikasi Journal of Natural Sciences and Mathematics Research
susilo hariyanto
Undip
Agriculture, Biological Sciences & Forestry Biochemistry, Genetics & Molecular Biology Chemistry Materials Science & Nanotechnology Mathematics Physics

Published : 11 Documents Claim Missing Document
Claim Missing Document
Check
Articles

Found 11 Documents
Search

 1   2 
The Solution Of Nonhomogen Abstract Cauchy Problem by Semigroup Theory of Linear Operator Hariyanto, Susilo
Journal Of Natural Sciences And Mathematics Research Vol 2, No 2 (2016): Volume 2, Nomor 2, 2016
Publisher : Faculty of Science and Technology, State Islamic University Walisongo Central Java

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (770.99 KB) | DOI: 10.21580/jnsmr.2016.1.2.1656

Abstract

In this article we will investigate how to solve nonhomogen degenerate Cauchy problem via theory of semigroup of linear operator. The problem is formulated in Hilbert space which can be written as direct sum of subset Ker M and Ran M*. By certain assumptions the problem can be reduced to nondegenerate Cauchy problem. And then by composition between invers of operator M and the nondegenerate problem we can transform it to canonic problem, which is easier to solve than the original problem. By taking assumption that the operator A is infinitesimal generator of semigroup, the canonic problem has a unique solution. This allow to define special operator which map the solution of canonic problem to original problem. ©2016 JNSMR UIN Walisongo. All rights reserved.
MODEL ASIMETRIS GABUNGAN INVENTORY DAN ROUTING UNTUK MINIMISASI HARGA KOMODITI sarwadi, Sarwadi; hariyanto, susilo
MATEMATIKA Vol 7, No 2 (2004): JURNAL MATEMATIKA
Publisher : MATEMATIKA

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (56.845 KB)

Abstract

Dalam penelitian ini, akan dirumuskan suatu model matematik yang merupakan gabungan antara masalah inventory dan routing. Model dibangun  dengan memperhatikan sifat asimetris matrik jarak antar kota. Masalah ini diselesaikan dengan menggunakan teori graph. Perumusan masalah dinyatakan ke model Mixed Integer Linier Programming. Model ini disusun untuk kasus minimisasi suatu harga komoditi. Selanjutnya, model yang dibangun dikaji karakteristik-karakteristiknya untuk membuktikan kesahihannya, sehingga diperoleh suatu model MILP yang valid untuk permasalahan inventory dan routing.
SYARAT PERLU DAN CUKUP INTEGRAL HENSTOCK-BOCHNER DAN INTEGRAL HENSTOCK-DUNFORD PADA [a,b] Solikhin, Solikhin; Hariyanto, Susilo; Sumanto, Y.D; Aziz, Abdul
MATEMATIKA Vol 20, No 1 (2017): JURNAL MATEMATIKA
Publisher : MATEMATIKA

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (720.064 KB)

Abstract

In this paper we study Henstock-Bochner and Henstock-Dunford integral on [a,b]. We discuss some properties of  the integrable. For every function which Henstock-Bochner integrable then it is Hentsock-Dunford integrable. The contrary is not true. Further more, let for any  and collection  is Henstock-equi-integrable. We will show that function   is Henstock-Bochner  integrable on   if only if  it is Henstock-Dunford integrable on .
METODE PENYELESAIAN MASALAH CAUCHY DEGENERATE NONHOMOGEN MELALUI PENYELESAIAN MASALAH CAUCHY NONDEGENERATE NONHOMOGEN hariyanto, Susilo
MATEMATIKA Vol 11, No 3 (2008): JURNAL MATEMATIKA
Publisher : MATEMATIKA

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (81.615 KB)

Abstract

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  
SIFAT-SIFAT GRAF (2n) L., Erly; Hariyanto, Susilo
MATEMATIKA Vol 11, No 3 (2008): JURNAL MATEMATIKA
Publisher : MATEMATIKA

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (74.544 KB)

Abstract

A sequence of non negative integers d = (d1, d2, …, dn) is said a sequence of graphic if it is the degree sequence of a simple graph G. In this case, graph G is called realization for d. The set of all realizations of  non isomorfic 2-regular graph with order n (n ≥ 3) is denoted R(2n), whereas a graph with R(2n) as set of  their vertices is denoted (2n) . Two vertices in graph (2n)  are called adjacent if one of these vertices can be derived from the other by switching. In the present paper, we  prove that  for n ≥ 6, (2n) is a connected and bipartite graph.  
GRAF SIMETRI LEMAH Hariyanto, Susilo; Sumanto, Y.D.; Fatkhurohman, Fatkhurohman
JURNAL SAINS DAN MATEMATIKA Volume 17 Issue 1 Year 2009
Publisher : JURNAL SAINS DAN MATEMATIKA

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (4761.293 KB)

Abstract

ABSTRAK-Diberikan suatu graf sederhana X dengan himpunan semua titiknya V(Y), himpunan semua garisnya E(X). Himpunan semua automorfisme pada graf X dinotasitan Aut X dan semua endomorfisme dinotasikan dengan  End  X. Dalam artikel ini, akan diidentifikasi apakah graf X merupakan graf simetri atau graf simeti lemah. Untuk mengidentifikasi diperlukan pumahaman tentang grup, semigrup,  automorfisme dan endomorfisme dalam graf. Jika pada sembarang pasang  titik x,y Є V(X), terdapat pemetaan f Є Aut X sedemikian hingga berlaku f(x) = y maka graf X dikatakan sabagai graf verteks-simetri, sedangkan jika berlaku pada sembarang garis pada X pada graf X dikatakan graf edge-simetri dan jika berlaku pada sembarang titik dan sembarang garis maka  disebut graf simetri.  Jika pemetaan diambil dan End X maka graf simetri yang diperoleh adalah graf  simetri yang diperlemah atau disebut graf simetri lemah. Kata kunci : autoformisme dan endoformisme pada graf
Penyelesaian Masalah Cauchy Degenerate dengan Mereduksi ke Bentuk Masalah Cauchy Nondegenerate Hariyanto, Susilo
JURNAL SAINS DAN MATEMATIKA Volume 14 issue 4 Year 2006
Publisher : JURNAL SAINS DAN MATEMATIKA

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (524.135 KB)

Abstract

ABSTRAK---Dalam artikel ini diselidiki cara mencari penyelesaian masalah Cauchy abstrak degenerate melalui masalah Cauchy abstrak nondegenerate. Permasalahan ini dibicarakan dalam ruang Hilbert H yang dapat dinyatakan sebagai hasil tambah langsung dari Ker M dan (Ran M*)c. Selanjutnya metode ini digunakan untuk menyelesaikan limit nonrelativistik dari persamaan Dirac.Kata kunci: masalah Cauchy abstrak degenerate, masalah Cauchy abstrak nondegenerate,Persamaan Dirac.
Reduksi Persamaan Dirac ke Persamaan Cauchy Nondegenerate Hariyanto, Susilo
JURNAL SAINS DAN MATEMATIKA Volume 15 Issue 1 Year 2007
Publisher : JURNAL SAINS DAN MATEMATIKA

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (552.321 KB)

Abstract

ABSTRAK---Persamaan Dirac abstrak adalah suatu sistem persamaan diferensial parsial yang memiliki struktur abstrak sebagai berikut    ψ(t) = -i(cD + mc2 (τ-1) + V) ψ(t) dengan massa m>0, kecepatan cahaya c>0. Dalam artikel ini dikaji suatu cara mereduksi persamaan dirac abstrak yang dapat dipandang sebagai masalah Cauchy degenerate, ke masalah Cauchy abstrak nondegenerate. Reduksi ini dapat dilakukan dengan memformulasikan masalah yang dibicarakan dalam ruang Hilbert H dan tranformasi T: H H yang didefinisikan sebagai fungsi berkut: ψ(t) Є D(D) ....∆∆ H T   ->   T (ψ(t)) Ξ s(t) = ( P+ + cP-) ψ(t)   Kata kunci: Cauchy Degenerate, Nondegenerate, Persamaan Dirac, Ruang Hilbert
RUANG MATRIX LINEAR TRANSLASI INVARIAN PADA RUANG FUNGSI INTEGRAL HENSTOCK-DUNFORD PADA [a,b] Solikhin, Solikhin; Sumanto, YD; Hariyanto, Susilo; Aziz, Abdul
MATEMATIKA Vol 20, No 2 (2017): JURNAL MATEMATIKA
Publisher : MATEMATIKA

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (369.614 KB)

Abstract

In this paper we study Henstock-Dunford integral on [a,b]. We discuss some properties of the integrable. We will construct norm and matrix on Dunford-Henstock integrable function space, $HD[a,b]$. We obtain that $HD[a,b]$ is linear space. A function $\left\| \,.\, \right\|:HD[a,b]\to R$ defined by $\left\| f \right\|=\underset{\begin{smallmatrix} {{x}^{*}}\in {{X}^{*}} \\ \left\| {{x}^{*}} \right\| \le 1 \end{smallmatrix}}{\mathop{\sup}}\, \\ left( \underset{A\subset[a,b]}{\mathop{\sup}}\,\,\left| \left( H \right) \int \limits_{A}{{{x}^{*}}f} \right| \right)$ for every $f \in HD[a,b]$ is norm on linear space $HD[a,b]$. A function $d:HD[a,b]\times HD[a,b]\to R$ defined by $d\left( f,g \right)=\left\| f-g \right\|$ for every $f,g\in HD[a,b]$ is a matrix on linear space $HD[a,b]$. Further more, linear space $HD[a,b]$ is linear matrix translation invarian space.
Elliptical Orbits Mode Application for Approximation of Fuel Volume Change Pratama, Jovian Dian; Herdiana, Ratna; Hariyanto, Susilo
CAUCHY Vol 7, No 2 (2022): CAUCHY: Jurnal Matematika Murni dan Aplikasi (May 2022) (Issue in Progress)
Publisher : Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18860/ca.v7i2.14407

Abstract

This article discusses the Elliptical Orbits Mode (EOM) as a method of approximating the function of changing the volume of fuel in the Underground Yank (UT). This research was conducted at the 45.507.21 Candirejo Tuntang Pertamina Gas Station. The calculation of the approximation method will be applied to the measuring book data from the Semarang Metrology Regency specifically for the Pertalite (Fuel Product of Pertamina) buried tank, because the calculation of the gas station is not smooth, it is necessary for a smoother data fitting by considering Residual Square Error (RSS) and Mean Square Error (MSE). The result of this research is the application of EOM(θ) measuring book with elliptical height control produces smaller RSS and MSE compared to using COM, EOM, Least Square degree two and three.
Co-Authors Abdul Aziz Fatkhurohman Fatkhurohman Herdiana, Ratna L., Erly Pratama, Jovian Dian Saputro, Razis Aji Saputro, Razis Aji Sarwadi sarwadi Solikhin Solikhin Titi Udjiani SRRM Y.D Sumanto Y.D. Sumanto YD Sumanto Zaenurrohman, Zaenurrohman