HOLOMORPHIC AND DIFFERENTIABLE PROPERTIES OF THE C0-SEMIGROUP ASSOCIATED WITH THE EULER-BERNOULLI BEAM EQUATIONS WITH STRUCTURAL DAMPING

In recent years more attention has been paid to the mathematical model for aflying ve-hicle which can be considered as an Euler--Bernoulli beam equation with damping. Its character is that the boundary conditions satisfied by the elastic and damping operators are non-local and coupling to each other. It is a difficult problem how to study the mathematicalproperties of this system. This paper provides an approach to study this problem, unifies andcovers all of the previous work. The results obtained are very convenient for applications tothe initial boundary-value problems of linear hyperbolic equations with variable coefficientsand damping.