Singularly perturbed system of differential equations in case of unstable spectrum and non diagonalizable degenerate operator

Equadiff 99 ◽  
2000 ◽  
pp. 1464-1466
Author(s):  
Vasyl Bobochko ◽  
Ivan Markush
Keyword(s):  
Differential Equations ◽  
Singularly Perturbed ◽  
System Of Differential Equations ◽  
Singularly Perturbed System ◽  
Perturbed System ◽  
Degenerate Operator

ASYMPTOTIC SOLUTIONS OF A TWO-POINT EDGE-BASED PROBLEM FOR A LINEAR SINGULARLY DISTURBED SYSTEM OF DIFFERENTIAL EQUATIONS IN NONCRITICAL AND CRITICAL STABLE CASES

2019 ◽  
pp. 19-25
Author(s):  
S. Pafyk
Keyword(s):  
Differential Equations ◽  
Boundary Value Problem ◽  
Asymptotic Solution ◽  
Asymptotic Methods ◽  
Singularly Perturbed ◽  
Asymptotic Estimates ◽  
System Of Differential Equations ◽  
Singularly Perturbed System ◽  
Perturbed System ◽  
Edge Based

Using asymptotic methods in the theory of differential equations and their systems, an asymptotic solution of the boundary value problem for a linear singularly perturbed system of differential equations is constructed. Considered non-critical and critical resistant cases. For each of the cases, the corresponding asymptotic estimates were found.

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