On the Dirichlet Problem for an Elliptic Functional Differential Equation with Affine Transformations of the Argument


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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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