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Asymptotic and integral equivalence of functional and ordinary differential equations. (English) Zbl 0729.34059
The author considers the following two systems: \((1)\quad u'(t)=A(t)u(t)+F(t,u_ t),\) \((2)\quad v'(t)=A(t)v(t).\) He proves that under certain conditions upon system (2) and the nonlinear term F, there exists a homeomorphism between the sets of g-bounded solutions of (1) and (2), respectively.
Reviewer: M.Lizana (Caracas)

MSC:
34K25 Asymptotic theory of functional-differential equations
34K05 General theory of functional-differential equations
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