Abstract
In the preceding report (Part II〜IV), the author derived the formulae for the buckling problems of flat shells in bending state, by means of Galerkin's method which was applied not only for the equilibrium equation but also for the compatibility equation. In this report, for proving the applicability of the above method to the compatibility equation as well as to the equilibrium equation, the author dicussed the relations among the Galerkin's method, i.e. direct method of variational problems, Euler equations and also the functionals for the compatibility equation and the equilibrium equation of the flat shells.
