• 제목/요약/키워드: semicontinuous

검색결과 139건 처리시간 0.02초

비국소 초기 조건을 갖는 비선형 퍼지 미분방정식에 대한 해의 존재성과 유일성 (The existence and uniqueness of solution for the nonlinear fuzzy differential equations with nonlocal initial condition)

  • Kim, Mi-Ran;Park, Jong-Seo;Kim, Seon-Yu
    • 한국지능시스템학회:학술대회논문집
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    • 한국퍼지및지능시스템학회 2001년도 추계학술대회 학술발표 논문집
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    • pp.357-360
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    • 2001
  • In this paper, we study the existence and uniqueness of fuzzy solution for the nonlinear fuzzy differential equations with nonlocal initial condition in E$\sub$N/$\^$2/ by using the concept of fuzzy number of dimension 2 whose values are normal convex upper semicontinuous and compactly supported surface in R$_2$.

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ON DISCONTINUOUS ELLIPTIC PROBLEMS INVOLVING THE FRACTIONAL p-LAPLACIAN IN ℝN

  • Kim, In Hyoun;Kim, Yun-Ho;Park, Kisoeb
    • 대한수학회보
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    • 제55권6호
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    • pp.1869-1889
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    • 2018
  • We are concerned with the following fractional p-Laplacian inclusion: $$(-{\Delta})^s_pu+V(x){\mid}u{\mid}^{p-2}u{\in}{\lambda}[{\underline{f}}(x,u(x)),\;{\bar{f}}(s,u(x))]$$ in ${\mathbb{R}}^N$, where $(-{\Delta})^s_p$ is the fractional p-Laplacian operator, 0 < s < 1 < p < $+{\infty}$, sp < N, and $f:{\mathbb{R}}^N{\times}{\mathbb{R}}{\rightarrow}{\mathbb{R}}$ is measurable with respect to each variable separately. We show that our problem with the discontinuous nonlinearity f admits at least one or two nontrivial weak solutions. In order to do this, the main tool is the Berkovits-Tienari degree theory for weakly upper semicontinuous set-valued operators. In addition, our main assertions continue to hold when $(-{\Delta})^s_pu$ is replaced by any non-local integro-differential operator.

Production of Laccase and Bioremediation of Pentachlorophenol by Wood-Degrading Fungus Trichophyton sp. LKY-7 immobilized in Ca-Alginate Beads

  • Hyunchae Jung;Kyuhwan Hyun;Park, Chongyawl
    • 펄프종이기술
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    • 제35권5호
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    • pp.80-86
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    • 2003
  • The wood-degrading fungus Trichophyton sp. LKY-7 (T. LKY-7) was immobilized in ca-alginate beads for laccase production and PCP bioremediation. The immobilized T. LKY-7 enabled the repeated use of this fungus for laccase production and produced high amount of laccase throughout 5 cycles incubation. As a laccase inducer. oak wood meal (Quercus variabilis) seemed to be effective laccase inducer for T. LKY-7, and the optimum addition amount was 1% (W/W) in glucose-peptone medium. Bioremediation of pentachlorophenol by the immobilized T. LKY-7 reached an efficency of up to 90% without toxic inhibition. The immobilized T. LKY-7 might thus be applicable for semicontinuous laccase production and bioremediation to serve inoculum for reactor system.

여수해만산 유독 와편모조류 Gymnodinium catenotum (Graham)의 용존태 무기인에 대한 성장 및 흡수 (Growth and Phosphate Uptake of the Toxic Dinoflagellate Gymnodinium catenatum Isolated from Yeosuhae Bay, South Korea)

  • 오석진;윤양호;양한섭
    • 한국수산과학회지
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    • 제40권2호
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    • pp.95-101
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    • 2007
  • We investigated the growth and phosphate uptake of a toxic dinoflagellate, Gymnodinium catenatum, isolated from Yeosuhae Bay, South Korea. A short-term phosphate uptake experiment revealed that its maximum uptake and the half-saturation constant were 1.39 pmol/cell/hr and $2.65{\mu}M$, respectively. In a semicontinuous culture, the maximum specific growth rate and minimum phosphorus cell quota of G. catenatum were 0.39/day and 1.27 pmol/cell, respectively. Thus, G. catenatum is a poor competitor in terms of inorganic nutrient use and is unlikely to form blooms in Yeosuhae Bay.

비국소조건을 가지는 준선형퍼지적분미분방정식에 대한 제어가능성 모델링과 퍼지 제어에 관한 연구 (Controllability for the Semilinear Fuzzy Integrodifferential Equations with Nonlocal Conditions)

  • 권영철;박동근;최규탁
    • 한국지능시스템학회:학술대회논문집
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    • 한국퍼지및지능시스템학회 2006년도 춘계학술대회 학술발표 논문집 제16권 제1호
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    • pp.67-70
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    • 2006
  • In this paper. we study the controllability for the semilinear fuzzy integrodifferential control system with nonlocal condition in $E_N$ by using the concept of fuzzy number whose values are normal, convex, upper semicontinuous and compactly supported interval in $E_N$.

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$E_N^{n_N}$상의 비선형 퍼지 Integro 미분방정식에 대한 제어가능성 (Controllabi1ity of the nonlinear Fuzzy Integro-Differential Equation on $E_N^{n_N}$)

  • Kwun, Young-Chel;Park, Dong-Gun;Son, Ki-Do;Jeong, Doo-Hwan
    • 한국지능시스템학회:학술대회논문집
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    • 한국퍼지및지능시스템학회 2004년도 추계학술대회 학술발표 논문집 제14권 제2호
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    • pp.345-350
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    • 2004
  • In this paper we study the controllability for the nonlinear fuzzy integro-differential equations on E$_{N}$$^{n}$ by using the concept of fuzzy number of dimension n whose values are normal, convex, upper semicontinuous and compactly supported surface in R$^n$. E$_{N}$$^{n}$ be the set of all fuzzy numbers in R$^n$ with edges having bases parallel to axis X$_1$, X$_2$, …, X$_{n}$ .X> .

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알루미늄 합금의 TCG 조직의 형성기구 (Mechanism of Twin Columnar Growth in Aluminum Alloys)

  • 김동건
    • 한국주조공학회지
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    • 제7권3호
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    • pp.192-198
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    • 1987
  • Commercial semicontinuous cast ingots of aluminum alloys often exhibit large grains composed of parallel arrays of continuous lamellae. Each lamella consists of a central {111} coherent twin boundary and wavy solidification boundary. This microstructure is referred to as a twin columnar growth(TCG) structure. The factors influencing the formation of a TCG structure include a unidirectional thermal gradient and the critical range of the alloying element content. The higher the thermal gradient is, the shorter the twin plane spacings are. The composition profile for an untwinned dendrite shows maximums at the positions of the interdendritic channels and the minimum appears at the center of the dendrite. While for twinned dendrite, it has wavy apperance. This profile has two local minimums instead of one shown in the untwinned.

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화자적응 신경망을 이용한 고립단어 인식 (Isolated Word Recognition Using a Speaker-Adaptive Neural Network)

  • 이기희;임인칠
    • 전자공학회논문지B
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    • 제32B권5호
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    • pp.765-776
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    • 1995
  • This paper describes a speaker adaptation method to improve the recognition performance of MLP(multiLayer Perceptron) based HMM(Hidden Markov Model) speech recognizer. In this method, we use lst-order linear transformation network to fit data of a new speaker to the MLP. Transformation parameters are adjusted by back-propagating classification error to the transformation network while leaving the MLP classifier fixed. The recognition system is based on semicontinuous HMM's which use the MLP as a fuzzy vector quantizer. The experimental results show that rapid speaker adaptation resulting in high recognition performance can be accomplished by this method. Namely, for supervised adaptation, the error rate is signifecantly reduced from 9.2% for the baseline system to 5.6% after speaker adaptation. And for unsupervised adaptation, the error rate is reduced to 5.1%, without any information from new speakers.

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A new equilibrium existence via connectedness

  • Rim, Dong-Il;Im, Sung-Mo;Kim, Won-Kyu
    • 대한수학회보
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    • 제33권4호
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    • pp.587-592
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    • 1996
  • In 1950, Nash [5] first proved the existence of equilibrium for games where the player's preferences are representable by continuous quasiconcave utilities and the strategy sets are simplexes. Next Debreu [3] proved the existence of equilibrium for abstract economies. Recently, the existence of Nash equilibrium can be further generalized in more general settings by several athors, e.g. Shafer-Sonnenschein [6], Borglin-Keiding [2], Yannelis-Prabhaker [8]. In the above results, the convexity assumption is very essential and the main proving tools are the continuous selection technique and the existence of maximal elements. Still there have been a number of generalizations and applications of equilibrium existence theorem in generalized games.

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WEIGHTED COMPOSITION OPERATORS ON NACHBIN SPACES WITH OPERATOR-VALUED WEIGHTS

  • Klilou, Mohammed;Oubbi, Lahbib
    • 대한수학회논문집
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    • 제33권4호
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    • pp.1125-1140
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    • 2018
  • Let A be a normed space, ${\mathcal{B}}(A)$ the algebra of all bounded operators on A, and V a family of strongly upper semicontinuous functions from a Hausdorff completely regular space X into ${\mathcal{B}}(A)$. In this paper, we investigate some properties of the weighted spaces CV (X, A) of all A-valued continuous functions f on X such that the mapping $x{\mapsto}v(x)(f(x))$ is bounded on X, for every $v{\in}V$, endowed with the topology generated by the seminorms ${\parallel}f{\parallel}v={\sup}\{{\parallel}v(x)(f(x)){\parallel},\;x{\in}X\}$. Our main purpose is to characterize continuous, bounded, and locally equicontinuous weighted composition operators between such spaces.