Name: Petr Tretyakov Institution: Joint Institute for Nuclear Research Title: Stability of dS and other cosmological regimes in high order gravity models. Key Words: cosmolgy, high order gravity Abstract: The unsolved problem of dark energy force us to discuss high order gravity models. Such theories may have very different nature: string theories, brane theories, f(R)-gravity and many other. From another hand dS-solution is one of the cosmologically important, because as inflation as late time acceleration is quasi-dS regimes. So it is possible to verify different modified gravity theories by studing stability of dS-solution. Some recent results about stability of dS-solution in different high order gravity are present in this talk.