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Zbl 0552.34062
Fukagai, Nobuyoshi; Kusano, Takaŝi
Oscillation theory of first order functional differential equations with deviating arguments. (English)
[J] Ann. Mat. Pura Appl., IV. Ser. 136, 95-117 (1984). ISSN 0373-3114; ISSN 1618-1891/e

From the summary: "New oscillation criteria are established for the first order functional differential equation (*) $y'(t)+p(t)y(g(t))=0$ and its nonlinear analogue. Possible extension of the results for (*) to equations with several deviating arguments is attempted. Finally, it is shown that there exists a class of autonomous equations for which the oscillation situation can be completely characterized."
[V.Sree Hari Rao]

MSC 2000:: *34K99 Functional-differential equations
34C10 Qualitative theory of oscillations of ODE: Zeros, etc.

Keywords: oscillation criteria; autonomous equations

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