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All Journal Journal of the Indonesian Mathematical Society Jurnal Teknik Industri: Jurnal Keilmuan dan Aplikasi Teknik Industri BAREKENG: Jurnal Ilmu Matematika dan Terapan Pattimura Proceeding : Conference of Science and Technology Hilbert Journal of Mathematical Analysis
Yudi Soeharyadi
Institut Teknologi Bandung
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GENERALIZED STUMMEL CLASS AND MORREY SPACES OF NONHOMOGENEOUS TYPE Budhi, Wono Setya; Sihwaningrum, Idha; Soeharyadi, Yudi
Journal of the Indonesian Mathematical Society Volume 20 Number 2 (October 2014)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.20.2.187.141-147

Abstract

In the context of the spaces of nonhomogeneous type, in this paper we study a relation between the generalized Stummel class and the generalized Morrey spaces. The stummel class is a class of functions related to local behavior of mapping by fractional integral operators. Meanwhile, the generalized Morrey spaces are classes of functions related to local behavior of Hardy-Littlewood maximal function. Our results employ the doubling condition of functions under consideration.DOI : http://dx.doi.org/10.22342/jims.20.2.187.141-147
GENERALIZED STUMMEL CLASS AND MORREY SPACES OF NONHOMOGENEOUS TYPE Wono Setya Budhi; Idha Sihwaningrum; Yudi Soeharyadi
Journal of the Indonesian Mathematical Society Volume 20 Number 2 (October 2014)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.20.2.187.141-147

Abstract

In the context of the spaces of nonhomogeneous type, in this paper we study a relation between the generalized Stummel class and the generalized Morrey spaces. The stummel class is a class of functions related to local behavior of mapping by fractional integral operators. Meanwhile, the generalized Morrey spaces are classes of functions related to local behavior of Hardy-Littlewood maximal function. Our results employ the doubling condition of functions under consideration.DOI : http://dx.doi.org/10.22342/jims.20.2.187.141-147
A SMOOTH DIFFUSION RATE MODEL OF WOOD DRYING:A SIMULATION TOWARD MORE EFFICIENT PROCESS IN INDUSTRY Edi Cahyono; Yudi Soeharyadi; Mukhsar Mukhsar
Jurnal Teknik Industri: Jurnal Keilmuan dan Aplikasi Teknik Industri Vol. 10 No. 1 (2008): JUNE 2008
Publisher : Institute of Research and Community Outreach - Petra Christian University

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (887.443 KB) | DOI: 10.9744/jti.10.1.1-10

Abstract

In this paper we consider modeling of wood drying process in an industry. The process is conducted in a kiln oven. Mathematically, the drying inside the wood is considered as an initial and boundary value problem. The model is a diffusion equation where the diffusion rate depends on the moisture content of the wood. We investigate a smooth diffusion rate and we compare the model with real data from an industry. The model shows a good agreement with the real data. Moreover, the model shows a smoother process of drying, which is more desirable by the timber and lumber industries to improve their current methods of drying.
KETAKSAMAAN HARDY DI RUANG HERZ HOMOGEN Pebrudal Zanu; Yudi Soeharyadi; Wono Setya Budhi
Pattimura Proceeding 2021: Prosiding KNM XX
Publisher : Pattimura University

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (1759.731 KB) | DOI: 10.30598/PattimuraSci.2021.KNMXX.99-106

Abstract

Ruang Herz pertama kali diperkenalkan untuk mengidentifikasi hasil transformasi Fourier dari kelas fungsi Lipschitz. Lu dan Yang membedakan ruang ini menjadi dua jenis berdasarkan dekomposisi spasial pada Rn \{0}dan Rn. Dekomposisi pada Rn \{0}berupa anulus2berpangkat. Sedangkan,padaRn berupabolasatuandananulus2berpangkat. Ruang Herz tersebut dinamakan dengan ruang Herz homogen dan non-homogen. Dalam makalah ini akan dibuktikan keterbatasan operator Hardy tipe Samko dan dualnya pada ruang Herz homogen. Pembuktian terlebih dahulu melalui kasus 1 < q ≤ p < ∞. Untuk kasus 1 < p ≤ q < ∞, bukti dilanjutkan dengan konsep dualitas
SISTEM EIGEN OPERATOR LAPLACE BERBASIS RUAS PADA SUATU POHON KUANTUM Moh Januar I Burhan; Yudi Soeharyadi; Wono Setya Budhi
Pattimura Proceeding 2021: Prosiding KNM XX
Publisher : Pattimura University

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (1917.432 KB) | DOI: 10.30598/PattimuraSci.2021.KNMXX.125-134

Abstract

Pada makalah ini, disajikan beberapa hasil investigasi mengenai sistem eigen operator Laplace berbasis ruas pada pohon kuantum P2 ▷ S2. Diasumsikan kondisi Dirichlet berlaku pada dua verteks tepi, dan kondisi Neumann untuk verteks tepi lainnya. Beberapa hal yang dibahas dalam investigasi ini antara lain, Kalkulus ketetanggaan, determinan sekular, dan dilanjutkan dengan perhitungan nilai eigen beserta analisis perilaku sistem koefisien dari fungsi eigen yang diperoleh. Salah satu hasil utama adalah simulasi fungsi eigen pada kasus ini dan selanjutnya diharapkan menjadi langkah awal untuk menentukan solusi persamaan gelombang berbasis ruas pada pohon kuantum P2 ▷ S2
Vector-Valued Inequality of Fractional Integral Operator with Rough Kernel on Morrey-Adams Spaces Daniel Salim; Yudi Soeharyadi; Wono Setya Budhi
Journal of the Indonesian Mathematical Society VOLUME 28 NUMBER 2 (JULY 2022)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.28.2.1057.164-172

Abstract

In 2019, Salim et al proved the vector-valued inequality for maximal operator with rough kernel on Lebesgue spaces and Morrey spaces. This results extend Fefferman-Stein inequality (1971). In 1970’s, Adams introduced another variant of Morrey spaces, which called as Morrey-Adams spaces. In this article, we prove vector-valued inequality for maximal operator and fractional integral operator with rough kernel on Morrey–Adams spaces.
On Conditions for Controllability and Local Regularity of A System of Differential Equations Ahmad Hadra Zuhri; Yudi Soeharyadi; Jalina Widjaja
Journal of the Indonesian Mathematical Society VOLUME 29 NUMBER 2 (JULY 2023)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.29.2.1584.259-270

Abstract

We consider a system of differential equations on a Banach space X given by: x'(t) = Ax(t) + u(t)f(t, x(t)), x(0) = x0, where A is an infinitesimal generator of a C0-semigroup, f : R0+ × X → X is a locally Lipschitz function, and u ∈ Lp([0, T], R) is a control defined on [0, T] with 1 < p ≤ ∞. Using the Compactness Principle and the generalization of Gronwalls Lemma, the system is shown to be controllable for a γ-bounded function f. Another result of this study is the local existence and the uniqueness of the solution of the system for locally bounded function f through weighted ω-norm.
On Invariant eigenvalues of Laplacian on complex star metric graphs Soeharyadi, Yudi; Lindiarni, Janny; Agustima, Pilipus Neri; Burhan, Mohammad Januar Ismail
Hilbert Journal of Mathematical Analysis Vol. 1 No. 2 (2023): Hilbert J. Math. Anal.
Publisher : KOMUNITAS Analisis Matematika INDONESIA

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.62918/hjma.v1i2.13

Abstract

In this article eigenvalues of Laplacian acting on complex star metric graphs is considered. The operator is coupled with Neumann-Kirchhoff vertex condition, implying self adjointness of the operator. We exhibit the invariance of the eigenvalues over the number of the bonds of the star metric graphs. Moreover, the eigenvalues are also invariant over parallel bonds of the star metric multigraphs.
A MODEL ON MARKET EQUILIBRIUM USING A DIFFERENTIAL EQUATION WITH TIME DELAYS Widjaja, Jalina; Putra Irawan, Naufal Zidan; Soeharyadi, Yudi; Tampubolon, Dumaria R.
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 19 No 3 (2025): BAREKENG: Journal of Mathematics and Its Application
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/barekengvol19iss3pp1893-1904

Abstract

In this paper, a model on market equilibrium is proposed using a delay differential equation with discrete delays as a modified version of the one proposed by Kobayashi (1996). The price of a commodity is determined using the equation involving weighted supply and demand functions. Both supply and demand functions are considered at the current time and sometimes in the past. The delays are chosen by considering the seasonal behavior of the market. We use data on some main commodities in Indonesia from 2018 to 2024 to validate the model. We found that the implementation of our modified Kobayashi model improves the estimation given by the original one. The implementation of the method also shows some characteristics of delay equations, that is longer delay time may include more dynamics, and more fluctuation, although that means it is more prone to instabilities. However, the problem of optimal delay time is yet to be resolved.
Co-Authors Agustima, Pilipus Neri Ahmad Hadra Zuhri Burhan, Moh. Januar Ismail Daniel Salim Dumaria R. Tampubolon Edi Cahyono Edi Cahyono Idha Sihwaningrum Idha Sihwaningrum Jalina Widjaja Janny Lindiarni Moh Januar I Burhan Mukhsar . Putra Irawan, Naufal Zidan Wono Setya Budhi Wono Setya Budhi Wono Setya Budhi Wono Setya Budhi Wono Setya Budhi Zanu, Pebrudal