arXiv subjects
Publications and source records attributed to Lubomír Klapka.
We find a solution of Sincov's inequality. Further, we prove that in the differentiable case we can interpret such solution as a differentiable manifold in the original sense of Lang. This allows to generalize the notion of atlas and transition map for non-differentiable and discontinuous case.
In this paper we define a flow with limited intersection of its worldlines and we construct and solve functional equations for such flow using a special kind of set embedding. For examples we use particular cases studied in the past by different authors. The connection to higher order ordinary differential equations is emphasized.