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On the presentation of solutions of nonlinear differential-functional equations in the neighborhood of singular points. (Russian) Zbl 0613.34059

This article is devoted to the presentation of solutions to the nonlinear differential-functional equation \(x'(\lambda t)=ax'(t)+f[t,x(t),x'(t)],\) \(t>0\), where \(\lambda\), a are real constants, f(t,x,y) is a real function of real variables and \(\lim_{t\to 0}x(t)=0\).
Reviewer: H.Rodkina

MSC:

34K99 Functional-differential equations (including equations with delayed, advanced or state-dependent argument)
34A34 Nonlinear ordinary differential equations and systems
34C05 Topological structure of integral curves, singular points, limit cycles of ordinary differential equations