Geodesic
Correct and selfadjoint problems with cubic operators
Zapiski Nauchnykh Seminarov POMI, Representation theory, dynamical systems, combinatorial methods. Part XVII, Tome 373 (2009), pp. 194-209

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In this paper we present a simple method to prove correctness and selfadjointness of operators $B^3$ , corresponding to some boundary problems. We give also the unique solutions for these problems. The algorithm is easy to implement via computer algebra systems. In our examples Derive and Mathematica were used. Bibl. – 10 titles. 
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     author = {I. N. Parasidis and P. C. Tsekrekos and T. G. Lokkas},
     title = {Correct and selfadjoint problems with cubic operators},
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I. N. Parasidis; P. C. Tsekrekos; T. G. Lokkas. Correct and selfadjoint problems with cubic operators. Zapiski Nauchnykh Seminarov POMI, Representation theory, dynamical systems, combinatorial methods. Part XVII, Tome 373 (2009), pp. 194-209. http://geodesic.mathdoc.fr/item/ZNSL_2009_373_a12/