On Spectrum of a General Petrovsky Type Equation and Riesz Basis of N-connected Beams with Linear Feedback at Joints
نویسندگان
چکیده
A framework of a general type of Petrovsky equation is formulated. The characteristic equation for eigenvalues of the system is derived and the associated eigenfunctions are found. For N connected beams with linear feedbacks at joint points, the asymptotic expansions of eigenvalues and eigenfunctions are further developed, and the Riesz basis property and the exponential stability are then concluded.
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