On the construction of asymptotic solutions of two-point boundary-value problems for degenerate singularly perturbed systems of differential equations

2010 ◽  
Vol 13 (2) ◽  
pp. 295-309 ◽  
Author(s):  
V. P. Yakovets’ ◽  
M. B. Vira
Keyword(s):  
Differential Equations ◽  
Boundary Value Problems ◽  
Boundary Value ◽  
Singularly Perturbed ◽  
Asymptotic Solutions ◽  
Point Boundary ◽  
Singularly Perturbed Systems ◽  
Systems Of Differential Equations ◽  
Perturbed Systems

scholarly journals Nonlinear singularly perturbed systems of differential equations: A survey

1995 ◽  
Vol 1 (4) ◽  
pp. 275-301
Author(s):  
Angela Slavova
Keyword(s):  
Differential Equations ◽  
Singular Perturbations ◽  
Point Of View ◽  
Singularly Perturbed ◽  
Theory Theory ◽  
Singularly Perturbed Systems ◽  
Constructive Methods ◽  
Systems Of Differential Equations ◽  
Perturbed Systems

In this paper a survey of the most effective methods in singular perturbations is presented. Many applied problems can be modeled by nonlinear singularly perturbed systems, as, for example, problems in kinetics, biochemistry, semiconductors theory, theory of electrical chains, economics, and so on. In this survey we consider averaging and constructive methods that are very useful from the point of view of their numerical and computer realizations.

Sign in / Sign up

Export Citation Format

Share Document