Acta mathematica scientia,Series B ›› 2020, Vol. 40 ›› Issue (2): 412-424.doi: 10.1007/s10473-020-0208-4

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APPROXIMATE CONTROLLABILITY RESULTS FOR INTEGRO-QUASILINEAR EVOLUTION EQUATIONS VIA TRAJECTORY REACHABLE SETS

A. Vinodkumar1, C. Loganathan2, S. Vijay2   

  1. 1. Department of Mathematics, Amrita School of Engineering, Amrita Vishwa Vidyapeetham, Coimbatore-641 112, India;
    2. Department of Mathematics, Maharaja Arts and Science College, Coimbatore-641 407, Tamil Nadu, India
  • Received:2018-05-29 Revised:2019-09-26 Online:2020-04-25 Published:2020-05-26
  • Contact: A. Vinodkumar E-mail:vinod026@gmail.com,a_vinodkumar@cb.amrita.edu
  • Supported by:
    This work was supported by Science & Engineering Research Board (DST-SERB) (ECR/2015/000301) in India.

Abstract: In this article, we study the approximate controllability results for an integro-quasilinear evolution equation with random impulsive moments under sufficient conditions. The results are obtained by the theory of C0 semigroup of bounded linear operators on evolution equations and using trajectory reachable sets. Finally, we generalize the results too with and without fixed type impulsive moments.

Key words: Integro-quasilinear control system, random impulses, approximate controllability

CLC Number: 

  • 93B05
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