We consider a cosmological model consisting of two scalar fields defined in the hyperbolic plane known as inflation. For background space, we homogeneous and isotropic spacetime with nonzero curvature. study asymptotic behaviour solutions search for attractors expanding regime. prove that inflationary stages are stable can solve flatness problem describe acceleration both open closed models, ad...

Consider the motion of a Brownian particle in two or more dimensions, whose coordinate processes are standard motions with zero drift initially, and then at some random/unobservable time, one gets (known) nonzero permanently. Given that position is being observed real problem to detect time which process as accurately possible. We solve this most uncertain scenario when (i) exponentially distri...