Blockwise estimate of the fundamental matrix of linear singularly perturbed differential systems with small delay and its application to uniform asymptotic solution
The author investigates a singularly perturbed system of linear differential equations with a small delay. He derives estimates on blocks of the fundamental matrix solution to this system uniformly valid for all sufficiently small values of the parameter of singular perturbations in the cases of time-independent and time-dependent coefficients of the system. These estimates are applied to justify a uniform asymptotic solution to an initial value problem for this system in both cases.
linear functional-differenetial equations
scientific article; zbMATH DE number 1915718
scientific article