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Oscillation theory of first order functional differential equations with deviating arguments. (English) Zbl 0552.34062

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.”
Reviewer: V.Sree Hari Rao

MSC:

34K99 Functional-differential equations (including equations with delayed, advanced or state-dependent argument)
34C10 Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations
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