Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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CONTROLLABILITY FOR SEMILINEAR FUNCTIONAL INTEGRODIFFERENTIAL EQUATIONS

  • Jeong, Jin-Mun (DIVISION OF MATHEMATICAL SCIENCES PUKYONG NATIONAL UNIVERSITY) ;
  • Kim, Han-Geul (DIVISION OF MATHEMATICAL SCIENCES PUKYONG NATIONAL UNIVERSITY)
  • Published : 2009.05.31
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Abstract

This paper deals with the regularity properties for a class of semilinear integrodifferential functional differential equations. It is shown the relation between the reachable set of the semilinear system and that of its corresponding linear system. We also show that the Lipschitz continuity and the uniform boundedness of the nonlinear term can be considerably weakened. Finally, a simple example to which our main result can be applied is given.

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References

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