Journal of Applied Mathematics and Stochastic Analysis
Volume 6 (1993), Issue 1, Pages 69-81
doi:10.1155/S1048953393000073
Constructive method for solving a nonlinear singularly perturbed system of differential equations in critical case
Florida Institute of Technology, 150 W. University Blvd., Melbourne 32901-6988, Florida, USA
Received 1 November 1992; Revised 1 March 1993
Copyright © 1993 Angela Slavova. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
A singularly, perturbed system of differential equations with
degenerate matrix at the derivative is considered. The existence and
construction of the periodic solutions are investigated in critical case.
For the analysis of these algorithms the apparatus of Lyapunov's finite
majorizing equations is used. An implementation of this method is given
in two examples.