PECULIARITIES OF ASYMPTOTICS AND QUANTITY OF INDEPENDENT SOLUTIONS OF SINGULAR DIFFERENTIAL SYSTEMS WITH DERIVATION AT THE DERIVATIVE
For singularly perturbed differential systems, the structure of the solutions dependence with respect to a small parameter is discussed. The ambiguity of the asymptotic sequence of the solutions decomposition and features of the dependence of the solutions structure on the properties of the spectrum of the limit operator bundle are established. The case of a degenerate limit operator under the derivative is studied.