Journal of the Chungcheong Mathematical Society (충청수학회지)

The Chungcheong Mathematical Society (충청수학회)
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APPROXIMATE CONTROLLABILITY FOR SEMILINEAR INTEGRO-DIFFERENTIAL CONTROL EQUATIONS WITH QUASI-HOMOGENEOUS PROPERTIES

  • Kim, Daewook (Department of Mathematics Education Seowon University) ;
  • Jeong, Jin-Mun (Department of Applied Mathematics Pukyong National University)
  • Received : 2021.04.14
  • Accepted : 2021.05.27
  • Published : 2021.08.15
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Abstract

In this paper, we consider the approximate controllability for a class of semilinear integro-differential functional control equations in which nonlinear terms of given equations satisfy quasi-homogeneous properties. The main method used is to make use of the surjective theorems that is similar to Fredholm alternative in the nonlinear case under restrictive assumptions. The sufficient conditions for the approximate controllability is obtain which is different from previous results on the system operator, controller and nonlinear terms. Finally, a simple example to which our main result can be applied is given.

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References

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