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- Title
Unique Solvability of a Functional-Differential Equation with Orthotropic Contractions in Weighted Spaces.
- Authors
Rossovskii, L.; Tasevich, A.
- Abstract
We study the solvability of a new class of functional-differential equations with transformations of the arguments of the unknown function. The transformations include contractions in one independent variable and dilations in the other. (We refer to such transformations as orthotropic contractions.) Sufficient conditions for the solvability of such equations in weighted spaces are obtained depending on the exponent of the space. We show that the original problem reduces to the study of a certain finite-difference equation in the space L (ℝ).
- Subjects
NUMERICAL solutions to functional differential equations; MATHEMATICAL transformations; FINITE difference method; CONTRACTIONS (Topology); TOPOLOGICAL spaces
- Publication
Differential Equations, 2017, Vol 53, Issue 12, p1631
- ISSN
0012-2661
- Publication type
Article
- DOI
10.1134/S0012266117120102