Integration of functions rd-continuous on time scales.

The article discusses the integration of functions rd-continuous on time scales. The notes the development of the theory of dynamic equations on time scales which aims to establish a uniform theory of ordinary differential equations with discontinuous argument. It explains that the definition of integral invokes doubts in the rightness of results based on an integration method. It reveals the availability of an approach to differential equations on time scales according to a natural extension of solutions on the corresponding general integral theory adaptation.