Abstract and Applied Analysis
Volume 2 (1997), Issue 1-2, Pages 1-45
doi:10.1155/S1085337597000250
The topological degree method for equations of the Navier-Stokes type
V.T. Dmitrienko
and V.G. Zvyagin
Mathematics Department, Voronezh State University, Universitetskaya Pl. 1, Voronezh 394693, Russia
Abstract
We obtain results of existence of weak solutions in the Hopf sense of the initial-boundary value problem for the generalized Navier-Stokes equations containing perturbations of retarded type. The degree theory for maps A−g, where A is invertible and g is 𝒜-condensing, is used.