• 제목/요약/키워드: semilinear fuzzy integrodifferential equation

검색결과 8건 처리시간 0.021초

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 $E_{N}$.

The existence and uniqueness of fuzzy solutions for semilinear fuzzy integrodifferential equations using integral contractor

  • Lee, Bu-Young;Kwun, Young-Chel;Ahn, Young-Chel;Park, Jin-Han
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • 제9권4호
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    • pp.339-342
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    • 2009
  • In this paper, we investigate the existence and uniqueness of fuzzy solutions for semilinear fuzzy integrodifferential equations using integral contractor. The notion of 'bounded integral contractor', introduced by Altman[1], is weaker than Lipschitz condition.

준선형 퍼지적분미분방정식에 대한 해의 존재성 (Existence of Solutions for the Semilinear Fuzzy Integrodifferential Equations)

  • 권영철;김미주;이부영
    • 한국지능시스템학회:학술대회논문집
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    • 한국지능시스템학회 2008년도 춘계학술대회 학술발표회 논문집
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    • pp.26-28
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    • 2008
  • This paper is to investigate the existence theorem for the semilinear fuzzy integrodifferential equation in ${E_N}$ by using the concept of fuzzy number whose values are normal, convex, upper semicontinuous and compactly supported interval in ${E_N}$. Main tool is successive iteration method.

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Existence of Solutions for the Semilinear Fuzzy Integrodifferential Equations using by Successive Iteration

  • Kwun, Young-Chel;Kim, Mi-Ju;Lee, Bu-Young;Park, Jin-Han
    • 한국지능시스템학회논문지
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    • 제18권4호
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    • pp.543-548
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    • 2008
  • This paper is to investigate the existence theorem for the semilinear fuzzy integrodifferential equation in $E_N$ by using the concept of fuzzy number whose values are normal, convex, upper semicontinuous and compactly supported interval in $E_N$. Main tool is successive iteration method.

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 $E_N$.

기억을 갖는 강제항과 비국소조건을 갖는 준선형 퍼지 적분미분방정식에 대한 제어가능성 (Controllability for the Semilinear Fuzzy Integrodifferential Equations with Nonlocal Conditions and Forcing Term with Memory)

  • 권영철;안영철;박동근;김선유
    • 한국지능시스템학회:학술대회논문집
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    • 한국퍼지및지능시스템학회 2007년도 춘계학술대회 학술발표 논문집 제17권 제1호
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    • pp.213-216
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    • 2007
  • In this paper. we study the controllability 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 $E_N$.

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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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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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