Terms for subject Mathematics containing be in the order of

English	Russian
additional hypotheses should be made in order to establish the existence of a classical solution	чтобы доказать существование классического решения, необходимо наложить дополнительные ограничения
in order to establish the laws governing the variation in these parameters, physical investigations of a thermodynamic nature are needed	установить законы
the above formula should be supplemented with two terms in order to better take into account the nonuniformity of characteristics	лучше учитывать