Main scientific interests lay in the sphere of contemporary multivalued analysis and its applications. The problems of construction of the topological coincidence degree theory for various classes of multivalued maps. The applications of topological methods in the theory of differential inclusions were studied. In particular, the method of guiding functions and its modifications to periodic problem of differential and functional differential inclusions were aplied.
Main publications:
Obukhovskii V., Zecca P., Loi N.V. and Kornev S., Method of Guiding Functions in Problems of Nonlinear Analysis, Lecture Notes in Math., 2076, Springer, 2013
