SOLVABILITY OF NONLINEAR PERTURBED SYSTEM WITH UNBOUNDED CONTROL OPERATOR BY USING SUFFICIENTLYCONDITIONS OF ADMISSIBLE OBSERVATION OPERATORS

Hassan, Samir Kasim

MAGISTRA
Vol 25, No 83 (2013): Magistra Edisi Maret

In this paper a sufficient conditions for the finite -time admissibility of an perturbed observation
operator are given as sufficient estimate to prove the local existence , uniqueness of the mild solutions of
nonlinear initial value input/output unbounded perturbed control/ observation problem in suitable Hilbert
space using perturbed semigroup theory.

Keyword: Perturbed semigroup, admissible , unbounded control, mild solution, strict contraction.