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Oscillations of solutions to neutral functional differential equations. (Chinese. English summary) Zbl 0706.34061

Summary: We give some sufficient conditions for oscillation of solutions to first order neutral functional differential equations and use a new iterative method to obtain the existence of nonoscillatory solutions. We also point out the differences between the retarded and advanced equations.

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