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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2021, Volume 198, Pages 103–108
DOI: https://doi.org/10.36535/0233-6723-2021-198-103-108
(Mi into880)
 

Nakhushev extremum principle for integro-differential operators

A. V. Pskhu

Institute of Applied Mathematics and Automation, Nalchik
References:
Abstract: In this paper, we prove the extremum principle for an integro-differential operator with a kernel of a general form, which generalizes an analog of Fermat's extremum theorem for the Riemann–Liouville fractional derivative. Also, we formulate the weighted extremum principle and the extremum principles for integro-differential operators of convolution type and for some fractional differentiation operators.
Keywords: extremum principle, analog of Fermat's extremum theorem, integro-differential operator, Riemann–Liouville derivative, derivative of distributed order, convolution operator.
Document Type: Article
UDC: 517.23, 517.272
MSC: 26A33, 26D10, 26A24
Language: Russian
Citation: A. V. Pskhu, “Nakhushev extremum principle for integro-differential operators”, Differential Equations and Mathematical Physics, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 198, VINITI, Moscow, 2021, 103–108
Citation in format AMSBIB
\Bibitem{Psk21}
\by A.~V.~Pskhu
\paper Nakhushev extremum principle for integro-differential operators
\inbook Differential Equations and Mathematical Physics
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2021
\vol 198
\pages 103--108
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into880}
\crossref{https://doi.org/10.36535/0233-6723-2021-198-103-108}
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    Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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