Asymptotic properties of solutions of the Cauchy problem for a degenerate singularly perturbed system of differential equations in the case of the multiple spectrum of the principal operator

2007 ◽  
Vol 10 (2) ◽  
pp. 246-256
Author(s):  
O. I. Kocherha
Keyword(s):  
Cauchy Problem ◽  
Differential Equations ◽  
Asymptotic Properties ◽  
Singularly Perturbed ◽  
System Of Differential Equations ◽  
Singularly Perturbed System ◽  
Perturbed System ◽  
The Cauchy Problem

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.

Sign in / Sign up

Export Citation Format

Share Document