Trans-Series Asymptotics of Solutions to the Degenerate Painlev\'{e} III Equation: A Case Study

A one-parameter family of trans-series asymptotics of solutions to the Degenerate Painlev\'{e} III Equation (DP3E) are parametrised in terms of the monodromy data of an associated two-by-two linear auxiliary problem via the isomonodromy deformation approach: trans-series asymptotics for the associated Hamiltonian and principal auxiliary functions and the solution of one of the sigma-forms of the DP3E are also obtained. The actions of Lie-point symmetries for the DP3E are derived.Comment: 102 page

Ecological and social-economic aspects of shw management in the kherson region

Solid household waste (SHW) include waste generated in the course of human life and activity in the residential and non-residential buildings and are not used at the place of storage. The problem of SHW management for the Kherson region, as well as for others regions of Ukraine, remains unresolved. In localities of Kherson region according to statistics was organized removal of waste sites (landfills and dumps) as of 2013 there are 300 places waste with total area of 457 ha. However, these data should be clarified and completed