In this investigation Rayleigh-Ritz variational method has been applied to determine the least natural frequency coefficient for the title problem. Classical plate theory assumptions have been used to calculate strain energy and kinetic energy. Coordinate functions are combination of polynomials which satisfy boundary conditions at the outer boundary and trigonometric terms. In the second part ...

We study the so(3) Gaudin model with general boundary K-matrix in framework of algebraic Bethe ansatz. The off-shell action generating function Hamiltonians is determined. proof based on mathematical induction presented level without any restriction whatsoever parameters. terms are given explicitly as well their states. correspondence between states and solutions to generalized Knizhnik-Zamolod...