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 |