Uniform Approximations for Solutions of a Singularly Perturbed System of Differential Equations in a Particularly Critical Case

2020 ◽  
pp. 707-714
Author(s):  
S. Karimov ◽  
G. Anarbaeva
Keyword(s):  
Differential Equations ◽  
Critical Case ◽  
Singularly Perturbed ◽  
System Of Differential Equations ◽  
Singularly Perturbed System ◽  
Perturbed System ◽  
Uniform Approximations

scholarly journals Constructive method for solving a nonlinear singularly perturbed system of differential equations in critical case

1993 ◽  
Vol 6 (1) ◽  
pp. 69-81
Author(s):  
Angela Slavova
Keyword(s):  
Differential Equations ◽  
Periodic Solutions ◽  
Critical Case ◽  
Singularly Perturbed ◽  
Constructive Method ◽  
System Of Differential Equations ◽  
Singularly Perturbed System ◽  
Perturbed System ◽  
Degenerate Matrix

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.

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