On singular singularly-perturbed initial value problems

Abstract

Consider the vector initial value problem with for a singular matrix F(t) of constant rank with stable eigenvalues and zero eigenvalues having simple elementary divisors. This paper shows how to determine the unique limiting solution when the reduced problem is solvable and how to obtain a uniform asymptotic expansion for the solution on finite t intervals.

^†This work was supported in part by the Office of Naval Research under Contract Number N00014-76-C-0326

^†This work was supported in part by the Office of Naval Research under Contract Number N00014-76-C-0326

Notes

^†This work was supported in part by the Office of Naval Research under Contract Number N00014-76-C-0326