• 제목/요약/키워드: E-convex

검색결과 199건 처리시간 0.022초

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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Convergence of approximate sequences for compositions of nonexpansive mappings in banach spaces

  • Jung, Jong-Soo;Kim, Tae-Hwa
    • 대한수학회보
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    • 제34권1호
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    • pp.93-102
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    • 1997
  • Let C be a nonempty closed convex subset of a Banach space E and let $T_1, \cdots, T_N$ be nonexpansive mappings from C into itself (recall that a mapping $T : C \longrightarrow C$ is nonexpansive if $\left\$\mid$ Tx - Ty \right\$\mid$ \leq \left\$\mid$ x - y \right\$\mid$$ for all $x, y \in C$). We consider the fixed point problem for nonexpansive mappings : find a common fixed point, i.e., find a point in $\cap_{i=1}^N Fix(T_i)$, where $Fix(T_i) := {x \in C : x = T_i x}$ denotes the set of fixed points of $T_i$.

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Controllability for the Semilinear Fuzzy Integrodifferential Equations with Nonlocal Conditions and Forcing Term with Memory

  • Yoon, Joung-Hahn;Kwun, Young-Chel;Park, Jong-Seo;Park, Jin-Han
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • 제7권1호
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    • pp.34-40
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    • 2007
  • Balasubramaniam and Muralisankar (2004) proved the existence and uniqueness of fuzzy solutions for the semilinear fuzzy integrodifferential equations with nonlocal initial condition. Park et al. (2006) found the sufficient condition of this system. Recently, Kwun et al. (2006) proved the existence and uniqueness of solutions for the semilinear fuzzy integrodifferential equations with nonlocal initial conditions and forcing term with memory in $E_N$. In this paper, we study the controllability for this system by using the concept of fuzzy number whose values are normal, convex, upper semicontinuous and compactly supported interval in $E_N$.

Asymptotic Behavior of Solutions for the Delay Semilinear Fuzzy Integrodifferential Systems

  • 권영철;박동근;이부영;황진수
    • 한국지능시스템학회논문지
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    • 제20권6호
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    • pp.858-863
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    • 2010
  • In this paper, we study the asymptotic behavior of solutions for the delay semilinear fuzzy integrodifferential systems on $E^1_N$ by using the concept of fuzzy number whose values are normal, convex, upper semicontinuous and compactly supported interval in $E^1_N$.

고소성점토 및 실트의 비선형 압밀특성 (Nonlinear Compression Characteristics of Highly Plastic Clays and Silts)

  • 한대희;임종철;권정근
    • 한국지반공학회:학술대회논문집
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    • 한국지반공학회 2008년도 추계 학술발표회
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    • pp.1081-1089
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    • 2008
  • Highly plastic clays in their normally consolidated state are not linear but are concave upwards. Thus their compression index deceases with the increase in consolidation pressure. Likeness the e - log ${\sigma}\;_{\upsilon}\;'$ curves of the silts are not linear but are convex upwards. In this paper, conducted consolidation test with four undisturbed field soil and found that their e - log ${\sigma}\;_{\upsilon}\;'$ plots are not linear. And analyzed difference of settlement between computed value with compression index($C_c$) and computed value with improved compression index($\mathbb{C}$).

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Existence and Uniqueness of Solutions for the Semilinear Fuzzy Integrodifferential Equations with Nonlocal Conditions and Forcing Term with Memory

  • Kwun, Young-Chel;Park, Jong-Seo;Kim, Seon-Yu;Park, Jin-Han
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • 제6권4호
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    • pp.288-292
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    • 2006
  • Many authors have studied several concepts of fuzzy systems. Balasubramaniam and Muralisankar (2004) proved the existence and uniqueness of fuzzy solutions for the semilinear fuzzy integrodifferential equation with nonlocal initial condition. Recently, Park, Park and Kwun (2006) find the sufficient condition of nonlocal controllability for the semilinear fuzzy integrodifferential equation with nonlocal initial condition. In this paper, we study the existence and uniqueness of solutions for the semilinear fuzzy integrodifferential equations with nonlocal condition and forcing term with memory in $E_{N}$ by using the concept of fuzzy number whose values are normal, convex, upper semicontinuous and compactly supported interval in $E_{N}$.

STRONG AND WEAK CONVERGENCE OF THE ISHIKAWA ITERATION METHOD FOR A CLASS OF NONLINEAR EQUATIONS

  • Osilike, M.O.
    • 대한수학회보
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    • 제37권1호
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    • pp.153-169
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    • 2000
  • Let E be a real q-uniformly smooth Banach space which admits a weakly sequentially continuous duality map, and K a nonempty closed convex subset of E. Let T : K -> K be a mapping such that $F(T)\;=\;{x\;{\in}\;K\;:\;Tx\;=\;x}\;{\neq}\;0$ and (I - T) satisfies the accretive-type condition: $\;{\geq}\;{\lambda}$\mid$$\mid$x-Tx$\mid$$\mid$^2$, for all $x\;{\in}\;K,\;x^*\;{\in}\;F(T)$ and for some ${\lambda}\;>\;0$. The weak and strong convergence of the Ishikawa iteration method to a fixed point of T are investigated. An application of our results to the approximation of a solution of a certain linear operator equation is also given. Our results extend several important known results from the Mann iteration method to the Ishikawa iteration method. In particular, our results resolve in the affirmative an open problem posed by Naimpally and Singh (J. Math. Anal. Appl. 96 (1983), 437-446).

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비국소조건을 가지는 충격 준선형퍼지적분미분방정식에 대한 제어 가능성 (Controllability for the Impulsive Semilinear Fuzzy Integrodifferential Equations with Nonlocal Conditions)

  • Kwun, Young-Chel;Ahn, Young-Chel;Park, Dong-Gun;Kim, Seon-Yu
    • 한국지능시스템학회:학술대회논문집
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    • 한국퍼지및지능시스템학회 2006년도 추계학술대회 학술발표 논문집 제16권 제2호
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    • pp.275-278
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    • 2006
  • In this paper. we study the controllability for the impulsive semilinear fuzzy integrodifferential equations 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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GaAs 기반의 텐덤형 태양전지 연구

  • 전민현
    • 한국진공학회:학술대회논문집
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    • 한국진공학회 2010년도 제39회 하계학술대회 초록집
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    • pp.2-2
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    • 2010
  • 텐덤형 태양전지는 다양한 에너지 대역을 동시에 흡수할 수 있도록 제작할 수 있어 단일접합 태양전지에 비해 높은 에너지변환효율을 기대할 수 있다. 본 연구에서는 GaAs를 기반으로 양자점 혹은 양자우물 구조를 이용한 고효율 텐덤형 태양전지를 설계하고, 완충층 및 활성층의 특성을 분석하였다. 분자선 단결정 성장 장비를 이용하여 GaAs 기판 위에 메타모픽 (metamorphic)성장법을 이용하여 convex, linear, concave 형태로 조성을 변화시켜 $In_xAl_1-_xAs$ 경사형 완충층을 성장한 후 그 특성을 비교하였다. 또한, 최적화된 경사형 완충층 위에 1.1 eV와 1.3 eV의 에너지 대역을 각각 흡수할 수 있는 적층 (5, 10, 15 층)된 InAs 양자점 구조 또는 InGaAs 양자우물구조를 삽입하여 p-n 접합을 성장하였다. 그리고 GaAs/AlGaAs층을 이용한 터널접합에서는 GaAs층의 두께 (20, 30, 50 nm)에 따른 터널링 효과를 평가하였다. 그 결과, 경사형 완충층을 통해 조성 변화로 인한 결함을 최소화하여 다양하게 조성 변화가 가능한 고품위의 구조를 선택적으로 성장할 수 있었으며, 적층의 양자점 구조 및 양자우물 구조를 이용해 고효율 텐덤형 태양전지의 구현 가능성을 확인하였다.

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Collapse behaviour of three-dimensional brick-block systems using non-linear programming

  • Baggio, Carlo;Trovalusci, Patrizia
    • Structural Engineering and Mechanics
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    • 제10권2호
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    • pp.181-195
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    • 2000
  • A two-step procedure for the application of non linear constrained programming to the limit analysis of rigid brick-block systems with no-tension and frictional interface is implemented and applied to various masonry structures. In the first step, a linear problem of programming, obtained by applying the upper bound theorem of limit analysis to systems of blocks interacting through no-tension and dilatant interfaces, is solved. The solution of this linear program is then employed as initial guess for a non linear and non convex problem of programming, obtained applying both the 'mechanism' and the 'equilibrium' approaches to the same block system with no-tension and frictional interfaces. The optimiser used is based on the sequential quadratic programming. The gradients of the constraints required are provided directly in symbolic form. In this way the program easily converges to the optimal solution even for systems with many degrees of freedom. Various numerical analyses showed that the procedure allows a reliable investigation of the ultimate behaviour of jointed structures, such as stone masonry structures, under statical load conditions.