Adjoints of Solution Semigroups and Identifiability of Delay Differential Equations in Hilbert Spaces
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چکیده
The paper deals with semigroups of operators associated with delay diierential equation: _ x(t) = Ax(t) + L 1 x(t ? h) + L 2 xt; where A is the innnitesimal generator of an analytic semigroup on a Hilbert space X and L 1 , L 2 are densely deened closed operators in X and L 2 (?h; 0;X) respectively. The adjoint semigroupof the solution semigroupof the delay diierentialequation is characterized. Eigenspaces of the generator of the adjoint semigroup are studied and the identiiability of parameters of the equation is given.
منابع مشابه
Adjoints of Solution Semigroups and Identifiability of Delay Differential Equations in Hilbert Spaces
The paper deals with semigroups of operators associated with delay differential equation: ẋ(t) = Ax(t) + L1x(t− h) + L2xt, where A is the infinitesimal generator of an analytic semigroup on a Hilbert space X and L1, L2 are densely defined closed operators in X and L2(−h, 0;X) respectively. The adjoint semigroup of the solution semigroup of the delay differential equation is characterized. Eigen...
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تاریخ انتشار 1994