Asymptotic expansions of solutions to singularly perturbed systems
Under the condition that a degenerate system has an exponentially stable integral manifold, an asymptotic expansion of the Cauchy problem that generalizes the well known Vasil'eva expansion is constructed for a perturbed system.
English version (Springer): Ukrainian Mathematical Journal 45 (1993), no. 4, pp 598-608.
Citation Example: Shchitov I. N. Asymptotic expansions of solutions to singularly perturbed systems // Ukr. Mat. Zh. - 1993. - 45, № 4. - pp. 552–560.