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Global interpolation of a composition of three points by parametric polynomies for the Lagrange form that have fast dots

A system of differential equations with several variable delays is considered, which is a the original discretely presented line (DPL) and is provided in a parametric form by an interpolation polynomial in the Lagrange form (parametric log in the Lagrange form). Possible options for the appearance of multiple points are considered and parameter values for these options are provided. It is indicated that with the appearance of multiple points on the DPL in the constituent elements of the parametric Lagrange polynomial, uncertainties arise. It is proved that all these uncertainties are revealed, the boundaries of which, at nodal points, are zero or one. It is shown that the uncertainties that arise with the appearance of multiple points on the LPL are not an obstacle to global interpolation using a parametric polynomial in the Lagrange form. That is, for any composition of three points, the construction and structure of the recording of a parametric polynomial in the Lagrange form remains unchanged. However, there are no restrictions on creating a composition of three points.