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Asymptotic equivalence of functional and ordinary differential equations. (English) Zbl 0645.34033
Summary: A version of the variation of constants formula for nonlinear systems is used to study the comparative asymptotic behavior of the systems $$x'=f(t,x)$$ and $$y'=f(t,y)+g(t,y_ t)$$.
##### MSC:
 34C20 Transformation and reduction of ordinary differential equations and systems, normal forms 34E99 Asymptotic theory for ordinary differential equations 34K25 Asymptotic theory of functional-differential equations 34A34 Nonlinear ordinary differential equations and systems
##### Keywords:
variation of constants formula