Approximate controllability of a non-autonomous differential equation



In this paper, we establish the approximate controllability results for a non-autonomous functional differential equation using the theory of linear evolution system, Schauder fixed point theorem, and by making use of resolvent operators. The results obtained in this paper, improve the existing ones in this direction, to a considerable extent. An example is also given to illustrate the abstract results.


Approximate controllability Schauder fixed point theorem resolvent operators 

2000 Mathematics Subject Classification

34K06 34A12 37L05 93B05 


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Copyright information

© Indian Academy of Sciences 2018

Authors and Affiliations

  1. 1.Department of MathematicsIndian Institute of Science Education and Research BhopalBhopalIndia
  2. 2.School of Natural SciencesMahindra Ecolé CentraleHyderabadIndia

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