Scientific seminar on the differential and functional differential equation under the guidance of Professor A.L. Skubachevskii

Speaker: N.B. Zhuravlev, L.E. Rossovskii, RUDN, Moscow.

Topic: Elliptic functional differential equation with affine argument transformation.

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.