Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
권호 표지

OPTIMAL PROBLEM FOR RETARDED SEMILINEAR DIFFERENTIAL EQUATIONS

  • Published : 1999.03.01
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Abstract

In this paper we deal with the optimal control problem for the semilinear functional differential equations with unbounded delays. We will also establish the regularity for solutions of the given system. By using the penalty function method we derive the optimal conditions for optimality of an admissible state-control pairs.

Keywords

References

  1. Japan J. Indust. Appl. Math v.10 Infinite dimensional parametric optimal control problems S. Aizicovici;N. S. Papageorgiou
  2. C. R. Acad. Sci. v.256 Un theoreme de compasite J. P. Aubin
  3. J. Math. Anal. Appl. v.102 $L^2$-regularity for parabolic partial intergrodifferential equations with delay in the highest-order derivatives G. Di Blasio;K. Kunisch;E. Sinestrari
  4. SIAM J. Control and Optimization v.6 Boundary control systems H. O. Fattorini
  5. Funckcial. Ekvac. v.36 Retarded functional differential equations with $L^1$ -valued controller J. M. Jeong
  6. J. Math. Anal. Appl. v.164 On the optimal control of strongly nonlinear evolution equations N. S. Papageorgiou
  7. J. Indust. Appl. Math. v.10 Infinite dimensional parametric optimal control problems N. S. Papageorgiou
  8. Indian J. Pure and Applied Math. Regularity and controllability for semilinear control system J. Y. Park;J. M. Jeong;Y. C. Kwun
  9. J. Functional Anal. v.17 On the existence of Von Neuman-Aumann's Theorem M. F. Saint-Beuve
  10. Funkcial. Ekvac. v.35 Fundamental solutions of differential equation with time delay in Banach space H. Tanabe