Argument (complex analysis)

Engineering

Affine transformation

Pure mathematics

Functional differential equation

Functional equation

Boundary value problem

Differential equation

Applied mathematics

Elliptic curve

Biochemistry

Sign (mathematics)

Mechanical engineering

Elliptic partial differential equation

Mathematics

Mathematical analysis

Dirichlet problem

Chemistry

First-order partial differential equation

Partial differential equation

Manifold (fluid mechanics)

Journal of Mathematical Analysis and Applications

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.

Elliptic functional differential equation with affine transformations