A. B. Katina
Russia, 195251, Saint-Petersburg, Bibliotechnaya pl., 2,
St. Petersburg State University,
Faculty of Mathematics and Mecanics
We study the first and second weak inverse shadowing properties in nonlinear dynamical systems. We obtain sufficient condition under which a diffeomorphism of a smooth manifold has the first weak inverse shadowing property. It is shown that the C1-Interior of the set of diffeomorphisms having the first weak inverse shadowing property coincides with the set of Omega-stable diffeomorphisms.