ABSTRACT
This chapter determines the system of coefficients providing simultaneous expansions for two different boundary functions with respect to the same system of homogeneous solutions, these coefficients were found only for special boundary conditions. The general method of solution for the biharmonic boundary problem is based on the reduction of the general boundary conditions in to the special boundary conditions of the type in that allow, to determine coefficients An in an explicit form. The problem under consideration can be formally solved if we introduce linear differential operators of the infinite order and the corresponding rules of operational calculus forming the algebra of these operators.
