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Nakhushev extremum principle for integro-differential operators
A. V. Pskhu Institute of Applied Mathematics and Automation, Nalchik
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.
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
Linking options:
https://www.mathnet.ru/eng/into880 https://www.mathnet.ru/eng/into/v198/p103
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Abstract page: | 137 | Full-text PDF : | 64 | References: | 25 |
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