Elliptic functional differential equation with affine transformations

We study the Dirichlet problem for a functional differential equation containing shifted and contracted argument under the Laplacian sign. We establish conditions for the unique solvability and demonstrate also that the problem may have an infinite dimensional solution manifold. © 2019 Elsevier Inc.

Authors
Rossovskii L.E. 1 , Tovsultanov A.A.2
Publisher
Academic Press Inc.
Number of issue
2
Language
English
Status
Published
Number
123403
Volume
480
Year
2019
Organizations
  • 1 Peoples' Friendship University of Russia, Miklukho-Maklaya 6, Moscow, 117198, Russian Federation
  • 2 Chechen State University, Sheripova 32, Grozny364024, Russian Federation
Keywords
Boundary value problem; Differential-difference equation; Elliptic functional differential equation; Rescaling
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