Параметризованные интегральные многообразия сингулярно возмущенных систем в критическом случае для задач химической кинетики

A constructive algorithm is proposed for calculating the coefficients of the asymptotic expansion of a slow motions integral manifold represented in parametric form. The existence and uniqueness theorem is proven for a parametrized integral manifold of a singularly perturbed system in a degenerate case.