• Title/Summary/Keyword: integrodifferential systems

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BOUNDARY CONTROLLABILITY OF ABSTRACT INTEGRODIFFERENTIAL SYSTEMS

  • Balachandran, K.;Leelamani, A.
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.7 no.1
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    • pp.33-45
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    • 2003
  • In this paper we establish a set of sufficient conditions for the boundary controllability of nonlinear integrodifferential systems and Sobolev type integrodifferential systems in Banach spaces by using fixed point theorems.

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CONTROLLABILITY OF STOCHASTIC VOLTERRA INTEGRODIFFERENTIAL SYSTEMS

  • Subramaniam, R.;Balachandran, K.
    • Journal of applied mathematics & informatics
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    • v.9 no.2
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    • pp.753-759
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    • 2002
  • In this paper, sufficient conditions for the controllability of stochastic integrodifferential systems in Banach spaces are established. The results are obtained by using a fixed point theorem. An example is provided to illustrate the theory.

CONTROLLABILITY OF SECOND ORDER SEMILINEAR VOLTERRA INTEGRODIFFERENTIAL SYSTEMS IN BANACH SPACES

  • Balachandran, K.;Park, J.Y.;Anthoni, S.-Marshal
    • Bulletin of the Korean Mathematical Society
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    • v.36 no.1
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    • pp.1-13
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    • 1999
  • Sufficient conditions for controllability of semilinear second order Volterra integrodifferential systems in Banach spaces are established using the theory of strongly continuous cosine families. The results are obtained by using the Schauder fixed point theorem. An example is provided to illustrate the theory.

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Boundary Controllability of Delay Integrodifferential Systems in Banach Spaces

  • Balachandran, K.;Anandhi, E.R.
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.4 no.2
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    • pp.67-75
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    • 2000
  • Sufficient conditions for boundary controllability of time varying delay integrodifferential systems in Banach spaces are established. The results are obtained by using the strongly continuous semigroup theory and the Banach contraction principle.

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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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    • v.6 no.4
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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 $E_{N}$.

Null Controllability of Semilinear Integrodifferential Control Systems in Hilbert Spaces

  • Park, Ah-ran;Jeong, Jin-Mun
    • Kyungpook Mathematical Journal
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    • v.59 no.2
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    • pp.241-258
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    • 2019
  • In this paper, we deal with the null controllability of semilinear functional integrodifferential control systems under the Lipschitz continuity of nonlinear terms. Moreover, we establish the regularity and a variation of constant formula for solutions of the given control systems in Hilbert spaces.

CONTROLLABILITY OF STOCHASTIC FUNCTIONAL INTEGRODIFFERENTIAL EVOLUTION SYSTEMS

  • Kokila, J.;Balachandran, K.
    • Journal of applied mathematics & informatics
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    • v.29 no.3_4
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    • pp.587-601
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    • 2011
  • In this paper, we prove the existence and uniqueness of mild solution for stochastic functional integrodifferential evolution equations and derive sufficient conditions for the controllability results. As an illustration we consider the controllability for a system governed by a random motion of a string.