A quasi-continuous dynamical system is a pair ( X , f ) consisting of topological space and mapping : ? such that n for all ? N where the set non-negative integers. In this paper, we show under appropriate assumptions, various definitions concept transitivity are equivalent in system. Our main results establish equivalence point These extend some classical on continuous systems [3] [10] [24] [7...

in this note some useful properties of strongly continuous two-parameter semigroups of operators are studied, an exponential formula for two-parameter semigroups of operators on banach spaces is obtained and some applied examples of two-parameter dynamical systems are discussed