Geodesic
Nakhushev extremum principle for integro-differential operators
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Differential Equations and Mathematical Physics, Tome 198 (2021), pp. 103-108

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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. 
@article{INTO_2021_198_a11,
     author = {A. V. Pskhu},
     title = {Nakhushev extremum principle for integro-differential operators},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {103--108},
     publisher = {mathdoc},
     volume = {198},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTO_2021_198_a11/}
}
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A. V. Pskhu. Nakhushev extremum principle for integro-differential operators. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Differential Equations and Mathematical Physics, Tome 198 (2021), pp. 103-108. http://geodesic.mathdoc.fr/item/INTO_2021_198_a11/