Constructive method for solving a nonlinear singularly perturbed system of differential equations in critical case. (1993)

• Record Type: Journal Article
• Authors: Slavova Slavova, Angela Angela
• Is Part Of: Journal of applied mathematics and stochastic analysis. Volume 6:Number 1(1993)
• Page Start: 69
• Page End: 81
• Publication Date: 1993
• Subjects: singular perturbations -- Lyapunov's majorant -- finite majorizing equations; Mathematical models -- Periodicals; Computer simulation -- Periodicals; Computer science -- Mathematics -- Periodicals; Computer science -- Mathematics; Computer simulation; Mathematical models; Applied Mathematics; Periodicals; Electronic journals; 519.22
• DOI: 10.1155/S1048953393000073
• Languages: English
• ISSNs: 1048-9533

Abstract

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.