NAYMARK PROBLEM FOR AN ORDINARY DIFFERENTIAL EQUATION WITH A FRACTIONAL DISCRETE DISTRIBUTED DIFFERENTIATION OPERATOR
- Autores: Gadzova L.K.1
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Afiliações:
- Kabardin-Balkar Scientific Center of RAS
- Edição: Volume 60, Nº 11 (2024)
- Páginas: 1452-1459
- Seção: ORDINARY DIFFERENTIAL EQUATIONS
- URL: https://kazanmedjournal.ru/0374-0641/article/view/649587
- DOI: https://doi.org/10.31857/S0374064124110029
- EDN: https://elibrary.ru/JELOBG
- ID: 649587
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Resumo
For an ordinary differential equation with a fractional discretely distributed differentiation operator, the Naimark problem is studied, where the boundary conditions are specified in the form of linear functionals. This allows us to cover a fairly wide class of linear local and nonlocal conditions. A necessary and sufficient condition for the unique solvability of the problem is obtained. A representation of the solution to the problem under study is found in terms of special functions. The theorem of existence and uniqueness of the solution is proven.
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Sobre autores
L. Gadzova
Kabardin-Balkar Scientific Center of RAS
Email: macaneeva@mail.ru
Nalchik, Russia
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