Correct and self-adjoint problems for biquadratic operators

In this paper, we continue a series of previous articles and present a simple method of proving the correctness and self-adjointness of operators of the form B4 corresponding to some boundary value problems. We also give representations for the unique solutions of these problems. The algorithm is easy to implement via computer algebra systems. In our examples, Derive and Mathematica were used. Bibliography: 13 titles. © 2011 Springer Science+Business Media, Inc.