On the Dirichlet Problem for an Elliptic Functional Differential Equation with Affine Transformations of the Argument
- Authors: Rossovskii L.E.1, Tovsultanov A.A.2
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Affiliations:
- RUDN University
- Chechen State University
- Issue: Vol 100, No 3 (2019)
- Pages: 551-553
- Section: Mathematics
- URL: https://journal-vniispk.ru/1064-5624/article/view/225743
- DOI: https://doi.org/10.1134/S1064562419060140
- ID: 225743
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Abstract
The Dirichlet problem for an elliptic functional differential equation involving a shifted and contracted argument under the Laplacian sign is studied. Sufficient conditions for the unique solvability of the problem are established. It is shown that the problem may have an infinite-dimensional solution manifold.
About the authors
L. E. Rossovskii
RUDN University
Author for correspondence.
Email: lrossovskii@gmail.com
Russian Federation, Moscow, 117198
A. A. Tovsultanov
Chechen State University
Author for correspondence.
Email: a.tovsultanov@mail.ru
Russian Federation, Grozny, Chechen Republic, 364024
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