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Correct and self-adjoint problems for biquadratic operators. (English) Zbl 1402.47002
J. Math. Sci., New York 179, No. 6, 714-725 (2011) and Zap. Nauchn. Semin. POMI 381, 145-162 (2011).
Summary: 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 \(B^{4}\) 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.

47B25 Linear symmetric and selfadjoint operators (unbounded)
34K10 Boundary value problems for functional-differential equations
DERIVE; Mathematica
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