• Title/Summary/Keyword: stochastic integrodifferential systems

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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 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.

CONTROLLABILITY OF IMPULSIVE NEUTRAL STOCHASTIC FUNCTIONAL INTEGRODIFFERENTIAL SYSTEM VIA RESOLVENT OPERATOR

  • K. RAMKUMAR;K. RAVIKUMAR;DIMPLEKUMAR CHALISHAJAR;A. ANGURAJ;MAMADOU ABDOUL DIOP
    • Journal of Applied and Pure Mathematics
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    • v.5 no.1_2
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    • pp.23-40
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    • 2023
  • This paper is concerned by the controllability results of impulsive neutral stochastic functional integrodifferential equations (INSFIDEs) driven by fractional Brownian motion with infinite delay in a real separable Hilbert space. The controllability results are obtained using stochastic analysis, Krasnoselkii fixed point method and the theory of resolvent operator in the sense of Grimmer. A practical example is provided to illustrate the viability of the abstract result of this work.