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

Angela Slavova

 Florida Institute of Technology, 150 W. University Blvd., Melbourne 32901-6988, Florida, USA
Received 1 November 1992; Revised 1 March 1993

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.