Singularly Perturbed Differential/Algebraic Equations

摘要

In this paper, singularly perturbed nonlinear differential/algebraic equations(DAEs) are considered and a proof of the existence and uniqueness of a solution is given. Asymptotic expansions for such a solution are obtained and proved to be uniformly convergent. This generalizes known results about asymptotic expansions of singularly perturbed ordinary differential equations.