This article is cited in 1 paper

A qualitative investigation of stable first-order differential equations with variable retardation

V. G. Limanskii


Abstract: The article is devoted to several theorems concerning the comparison of solutions (§ 2); the theorems yield conditions for boundedness (§ 3), tendency to zero, and stability of the trivial solution (§ 4); positive solutions are identified (§ 5), equations with a constant retardation are studied (§ 6), and the asymptotic behavior of the solutions is investigated (§ 7).

UDC: 517.9

MSC: 35B35, 35B40

Received: 28.03.1969

 English version: Mathematics of the USSR-Izvestiya, 1970, 4:1, 159–178

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