On linearized oscillations for neutral delay differential equations. (Chinese. English summary) Zbl 0794.34057
Summary: We prove in the paper, under suitable hypotheses, that all solutions of a certain class of nonlinear neutral delay differential equations oscillate if and only if all solutions of an associated linear equation with periodic coefficients oscillate.
MSC:
| 34K99 | Functional-differential equations (including equations with delayed, advanced or state-dependent argument) |
| 34K40 | Neutral functional-differential equations |
| 34C10 | Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations |
