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
Received 26 March 1997

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.