• 제목/요약/키워드: Differential analysis

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의료기기 품목 재분류 및 차등 관리방안 연구 (A Study on Classification and Differential Grade Management for Medical Devices)

  • 임경민;송동진
    • 대한의용생체공학회:의공학회지
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    • 제39권6호
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    • pp.268-277
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    • 2018
  • With drastic change in the market and technology of medical devices, a comparative analysis is necessary in advanced systems internationally in order to prepare domestically applicable plans for improvement in classification and differential grade management for items of medical devices. This research examines and analyzes the differences of definition and legal systems of medical devices among Korea, United States, EU, Japan and China, and investigates classification and grading system of each country to identify disadvantages of classification and grading structures for medical device in Korea. This research suggests ways to supplement the disadvantages of domestic classification and grading system of medical devices, and elicits differential management plans for medical devices.

EXISTENCE OF SOLUTION OF DIFFERENTIAL EQUATION VIA FIXED POINT IN COMPLEX VALUED b-METRIC SPACES

  • Mebawondu, A.A.;Abass, H.A.;Aibinu, M.O.;Narain, O.K.
    • Nonlinear Functional Analysis and Applications
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    • 제26권2호
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    • pp.303-322
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    • 2021
  • The concepts of new classes of mappings are introduced in the spaces which are more general space than the usual metric spaces. The existence and uniqueness of common fixed points and fixed point results are established in the setting of complete complex valued b-metric spaces. An illustration is given by establishing the existence of solution of periodic differential equations in the framework of a complete complex valued b-metric spaces.

SOLUTIONS OF A CLASS OF COUPLED SYSTEMS OF FUZZY DELAY DIFFERENTIAL EQUATIONS

  • Wu, Yu-ting;Lan, Heng-you;Zhang, Fan
    • Nonlinear Functional Analysis and Applications
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    • 제26권3호
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    • pp.513-530
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    • 2021
  • The purpose of this paper is to introduce and study a class of coupled systems of fuzzy delay differential equations involving fuzzy initial values and fuzzy source functions of triangular type. We assume that these initial values and source functions are triangular fuzzy functions and define solutions of the coupled systems as a triangular fuzzy function matrix consisting of real functional matrices. The method of triangular fuzzy function, fractional steps and fuzzy terms separation are used to solve the problems. Furthermore, we prove existence and uniqueness of solution for the considered systems, and then a solution algorithm is proposed. Finally, we present an example to illustrate our main results and give some work that can be done later.

NUMERICAL SOLUTIONS OF NONLINEAR VOLTERRA-FREDHOLM INTEGRO-DIFFERENTIAL EQUATIONS BY USING MADM AND VIM

  • Abed, Ayoob M.;Younis, Muhammed F.;Hamoud, Ahmed A.
    • Nonlinear Functional Analysis and Applications
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    • 제27권1호
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    • pp.189-201
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    • 2022
  • The aim of the current work is to investigate the numerical study of a nonlinear Volterra-Fredholm integro-differential equation with initial conditions. Our approximation techniques modified adomian decomposition method (MADM) and variational iteration method (VIM) are based on the product integration methods in conjunction with iterative schemes. The convergence of the proposed methods have been proved. We conclude the paper with numerical examples to illustrate the effectiveness of our methods.

A STUDY OF A WEAK SOLUTION OF A DIFFUSION PROBLEM FOR A TEMPORAL FRACTIONAL DIFFERENTIAL EQUATION

  • Anakira, Nidal;Chebana, Zinouba;Oussaeif, Taki-Eddine;Batiha, Iqbal M.;Ouannas, Adel
    • Nonlinear Functional Analysis and Applications
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    • 제27권3호
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    • pp.679-689
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    • 2022
  • In this paper, we establish sufficient conditions for the existence and uniqueness of solution for a class of initial boundary value problems with Dirichlet condition in regard to a category of fractional-order partial differential equations. The results are established by a method based on the theorem of Lax Milligram.

Differential Inheritance Modes of DNA Methylation between Euchromatic and Heterochromatic DNA Sequences in Ageing Fetal Bovine Fibroblasts

  • Y.K. Kang;D.B. Koo;Park, J.S.;Park, Y.H.;Lee, K.K.;Y.M. Han
    • 한국동물번식학회:학술대회논문집
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    • 한국동물번식학회 2001년도 춘계학술발표대회
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    • pp.49-49
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    • 2001
  • To elucidate overall changes in DNA methylation that occurs by inappropriate epigenetic control during ageing, we compared fetal bovine fibroblasts and their aged neomycin-resistant versions using bisulfite-PCR technology. Reduction in DNA methylation was observed in euchromatic repeats (18S-rRNA/art2) and promoter regions of sing1e-copy genes (the cytokeratin/-lactoglobulin/interleukin-13 genes). Contrastingly, a stable maintenance of DNA methylation was revealed in various heterochromatic sequences (satellite I/IIalphoid and Bov-B). The differential inheritance modes of DNA methylation was confirmed through the analysis of individual neomycin-resistant clones. These global, multi-loci analyses provide evidence on the tendency of differential epigenetic modification between genomic DNA regions during ageing.

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EFFECT OF MAGNETIC FIELD ON LONGITUDINAL FLUID VELOCITY OF INCOMPRESSIBLE DUSTY FLUID

  • N. JAGANNADHAM;B.K. RATH;D.K. DASH
    • Journal of applied mathematics & informatics
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    • 제41권2호
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    • pp.401-411
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    • 2023
  • The effects of longitudinal velocity dusty fluid flow in a weak magnetic field are investigated in this paper. An external uniform magnetic field parallel to the flow of dusty fluid influences the flow of dusty fluid. Besides that, the problem under investigation is completely defined in terms of identifying parameters such as longitudinal velocity (u), Hartmann number (M), dust particle interactions β, stock resistance γ, Reynolds number (Re) and magnetic Reynolds number (Rm). While using suitable transformations of resemblance, The governing partial differential equations are transformed into a system of ordinary differential equations. The Hankel Transformation is used to solve these equations numerically. The effects of representing parameters on the fluid phase and particle phase velocity flow are investigated in this analysis. The magnitude of the fluid particle is reduced significantly. The result indicates the magnitude of the particle reduced significantly. Although some of our numerical solutions agree with some of the available results in the literature review, other results differs because of the effect of the introduced magnetic field.

SEMI-ANALYTICAL SOLUTION TO A COUPLED LINEAR INCOMMENSURATE SYSTEM OF FRACTIONAL DIFFERENTIAL EQUATIONS

  • Iqbal M. Batiha;Nashat Alamarat;Shameseddin Alshorm;O. Y. Ababneh;Shaher Momani
    • Nonlinear Functional Analysis and Applications
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    • 제28권2호
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    • pp.449-471
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    • 2023
  • In this paper, we study a linear system of homogeneous commensurate /incommensurate fractional-order differential equations by developing a new semi-analytical scheme. In particular, by decoupling the system into two fractional-order differential equations, so that the first equation of order (δ + γ), while the second equation depends on the solution for the first equation, we have solved the under consideration system, where 0 < δ, γ ≤ 1. With the help of using the Adomian decomposition method (ADM), we obtain the general solution. The efficiency of this method is verified by solving several numerical examples.

매스콘크리트의 수화열 해석 및 현장 계측을 통한 수화발열량차 공법의 현장적용성 (Field Application of Foundation Mass Concrete Applying Hydration Heat Differential Method and Insulation Curing Method)

  • 한준희;임군수;신세준;전충근;김종;한민철
    • 한국건축시공학회:학술대회논문집
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    • 한국건축시공학회 2023년도 봄 학술논문 발표대회
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    • pp.229-230
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    • 2023
  • In this study, the hydration heat differential method was applied to mass concrete structures, and the hydration heat analysis was compared and analyzed with on-site measurement results. The results showed that the temperature history measurements of mass concrete were managed at a difference of 8.4 ℃, and although there was some deviation in thermal stress, a similar trend was observed. Consequently, it was determined that the thermal stress on the surface of mass concrete is less than its tensile strength, which would prevent the occurrence of thermal cracks.

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ON A TYPE OF DIFFERENTIAL CALCULUS IN THE FRAME OF GENERALIZED HILFER INTEGRO-DIFFERENTIAL EQUATION

  • Mohammed N. Alkord;Sadikali L. Shaikh;Mohammed B. M. Altalla
    • Nonlinear Functional Analysis and Applications
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    • 제29권1호
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    • pp.83-98
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    • 2024
  • In this paper, we investigate the existence and uniqueness of solutions to a new class of integro-differential equation boundary value problems (BVPs) with ㄒ-Hilfer operator. Our problem is converted into an equivalent fixed-point problem by introducing an operator whose fixed points coincide with the solutions to the given problem. Using Banach's and Schauder's fixed point techniques, the uniqueness and existence result for the given problem are demonstrated. The stability results for solutions of the given problem are also discussed. In the end. One example is provided to demonstrate the obtained results