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
Journal
Journal of Mathematical Analysis and Applications
Publisher
Academic Press Inc.
Number of issue
2
Language
English
Status
Published
Link
External link
DOI
10.1016/j.jmaa.2019.123403
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
Date of creation
24.12.2019
Date of change
24.12.2019
Short link
https://repository.rudn.ru/en/records/article/record/54801/
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