Boundary-Value Problem with Shift for a Linear Ordinary Differential Equation with the Operator of Discretely Distributed Differentiation
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the International Conference “Actual Problems of Applied Mathematics and Physics,” Kabardino-Balkaria, Nalchik, May 17–21, 2017, Tome 149 (2018), pp. 25-30

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In this paper, we study a boundary-value problem with local shift for a linear ordinary differential equation with the operator of discretely distributed differentiation, which links the value of the solution at the endpoints of the considered interval with values at interior points.
Keywords: fractional differentiation operator, Caputo derivative, boundary-value problem.
@article{INTO_2018_149_a2,
     author = {L. H. Gadzova},
     title = {Boundary-Value {Problem} with {Shift} for a {Linear} {Ordinary} {Differential} {Equation} with the {Operator} of {Discretely} {Distributed} {Differentiation}},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {25--30},
     publisher = {mathdoc},
     volume = {149},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTO_2018_149_a2/}
}
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L. H. Gadzova. Boundary-Value Problem with Shift for a Linear Ordinary Differential Equation with the Operator of Discretely Distributed Differentiation. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the International Conference “Actual Problems of Applied Mathematics and Physics,” Kabardino-Balkaria, Nalchik, May 17–21, 2017, Tome 149 (2018), pp. 25-30. http://geodesic.mathdoc.fr/item/INTO_2018_149_a2/