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Approximate controllability for differential equations with quasi-autonomous operators

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초록

The approximate controllability for the nonlinear control system with nonlinear monotone hemicontinuous and coercive operator is studied. The existence, uniqueness and a variation of solutions of the system are also given.

Abstract

The approximate controllability for the nonlinear control system with nonlinear monotone hemicontinuous and coercive operator is studied. The existence, uniqueness and a variation of solutions of the system are also given.

참고문헌 (11)

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  5. V. Barbu, "Nonlinear Semigroups and Differential Equations in Banach space" (1976), Noordhoff Leiden
  6. H. Brezis, "Operateurs maximaux monotones et semi-groupes de contractions dans les espaces de Hilbert" (1973), North Holland
  7. N. Hirano, "Nonlinear evolution equations with nonmonotonic perturbations", Nonlinear Anal, 13(6), pp.599~609 (1989)
  8. J. M. Jeong, "Approximate controllability for semilinear retarded systems", J. Math. Anal. Appl, 321(2), pp.961~975 (2006)
  9. K. Naito, "Controllability of semilinear control systems dominated by the linear part", SIAM J. Control Optim, 25(3), pp.715~722 (1987)
  10. H. Tanabe, "Equations of Evolution" (1979), Pitman-London
  11. H. X. Zhou, "Approximate controllability for a class of semilinear abstract equations", SIAM J. Control Optim, 21(4), pp.551~565 (1983)

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