Topological Dynamics Relative Topological Pressure

We study relative topological pressure in autonomous dynamical system and non-autonomous dynamical system. The main and innovatory results are as follows:1. Inspired by the ideas of [1], we give the notion of relative topological pressure by separated set for autonomous dynamical system, study the relation-ship between the two ways of definitions, we also analyze and give some other important properties of relative topological pressure for autonomous dynamical system, prove that the relative topological pressure for autonomous dynamical system is invariant with respect to uniformly topological conjugate.2. We define relative topological pressure by spanning set and separated set for non-autonomous dynamical system, respectively, study the relation-ship between the two ways of definitions, we also detailed and comprehensive demonstrate some properties of relative topological pressure for non-autonomous dynamical system and prove that the relative topological pressure for non-autonomous dynamical system is invariant with respect to uniformly topological conjugate.