In this paper,we study the generation problem of Riesz basis for a generic network of strings with joint damping at all *** we give spectral basic property of system operator *** certain conditions we prove that the s...
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In this paper,we study the generation problem of Riesz basis for a generic network of strings with joint damping at all *** we give spectral basic property of system operator *** certain conditions we prove that the spectrum of A distributes in a strip parallel to the imaginary *** the discussion of completeness of the generalized eigenvectors of operator A,we prove further that there exists a sequence of generalized eigenvectors of A that forms a Riesz basis with parentheses in the state Hilbert space.
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