Oscillation results of third order half linear neutral differential equations. (Chinese. English summary) Zbl 1274.34195
Summary: Oscillatory properties of a class of third order half linear neutral differential equations are studied. By using generalized Riccati transformation and Hardy-Littlewood-Polya inequalities some new sufficient criteria are obtained, which ensure that any solution of this equation oscillates or converges to zero. The obtained results generalize and improve some known results in the latest literatures.
MSC:
34K11 | Oscillation theory of functional-differential equations |
34K40 | Neutral functional-differential equations |
34K17 | Transformation and reduction of functional-differential equations and systems, normal forms |