Morchało, Jarosław Asymptotic and integral equivalence of functional and ordinary differential equations. (English) Zbl 0729.34059 Arch. Math., Brno 26, No. 1, 37-47 (1990). 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) Cited in 1 Document MSC: 34K25 Asymptotic theory of functional-differential equations 34K05 General theory of functional-differential equations Keywords:functional differential equations; asymptotic equivalence; homeomorphism; g-bounded solutions × Cite Format Result Cite Review PDF Full Text: EuDML