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Zapiski Nauchnykh Seminarov POMI, 2011, Volume 387, Pages 145–162 (Mi znsl4100)  
This article is cited in 1 scientific paper (total in 1 paper)

Correct and self-adjoint problems for biquadratic operators

I. N. Parasidisa, P. C. Tsekrekosb, T. G. Lokkasa

a Technological Educational Institution of Larissa, Greece
b Department of Mathematics, National Technical University, Athens, Greece
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Abstract: In this paper we continue the theme which has been investigated in [11, 12] and [13] and we present a simple method to prove correctness and self-adjointness of the operators of the form $B^4$ corresponding to some boundary value problems. We also give representations for the unique solutions for these problems. The algorithm is easy to implement via computer algebra systems. In our examples, Derive and Mathematica were used.
Key words and phrases: correct, self-adjoint and biquadratic operators, representation for the unique solution, boundary problem with integro-differential equation.
Received: 12.10.2010
English version:
Journal of Mathematical Sciences (New York), 2011, Volume 179, Issue 6, Pages 714–725
DOI: https://doi.org/10.1007/s10958-011-0621-2
Bibliographic databases:
Document Type: Article
UDC: 519.63+517.951
Language: English
Citation: I. N. Parasidis, P. C. Tsekrekos, T. G. Lokkas, “Correct and self-adjoint problems for biquadratic operators”, Representation theory, dynamical systems, combinatorial methods. Part XIX, Zap. Nauchn. Sem. POMI, 387, POMI, St. Petersburg, 2011, 145–162; J. Math. Sci. (N. Y.), 179:6 (2011), 714–725
Citation in format AMSBIB
\Bibitem{ParTseLok11}
\by I.~N.~Parasidis, P.~C.~Tsekrekos, T.~G.~Lokkas
\paper Correct and self-adjoint problems for biquadratic operators
\inbook Representation theory, dynamical systems, combinatorial methods. Part~XIX
\serial Zap. Nauchn. Sem. POMI
\yr 2011
\vol 387
\pages 145--162
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl4100}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2011
\vol 179
\issue 6
\pages 714--725
\crossref{https://doi.org/10.1007/s10958-011-0621-2}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-83555172448}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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