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Correct and self-adjoint problems with cubic operators

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In this paper, we present a simple method to prove the correctness and self-adjointness of operators B 3 corresponding to some boundary problems. We also give the unique solutions for these problems. The algorithm is easy to implement via computer algebra systems. In our examples, Derive and Mathematica were used. Bibliography: 10 titles.

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Authors and Affiliations

  1. Technological Educational Institution of Larissa, Larissa, Greece

    I. N. Parasidis & T. G. Lokkas

  2. Department of Mathematics, National Technical University, Athens, Greece

    P. C. Tsekrekos

Authors
  1. I. N. Parasidis
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  2. P. C. Tsekrekos
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  3. T. G. Lokkas
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Corresponding author

Correspondence to I. N. Parasidis.

Additional information

Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 373, 2009, pp. 194–209.

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Parasidis, I.N., Tsekrekos, P.C. & Lokkas, T.G. Correct and self-adjoint problems with cubic operators. J Math Sci 168, 420–427 (2010). https://doi.org/10.1007/s10958-010-9994-x

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  • DOI: https://doi.org/10.1007/s10958-010-9994-x

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