Oscillatory solutions of fourth order advanced trinomial differential equations. (English) Zbl 1482.34156
The authors study oscillations of fourth-order advanced trinomial differential equations. First, they decompose the set of all eventually positive solutions of the studied equation into two types \(\mathcal{N}_1\) and \(\mathcal{N}_3\), and discuss their properties. Then, they present two techniques: one is the comparison technique, which reduces the investigation of the studied equation to the oscillation of the couple of suitable first-order advanced differential equations; another brings integral oscillation conditions. Two illustrative examples are also included.
Reviewer: Qiru Wang (Guangzhou)
MSC:
| 34K11 | Oscillation theory of functional-differential equations |
| 34K17 | Transformation and reduction of functional-differential equations and systems, normal forms |
Keywords:
fourth-order functional differential equations; oscillation; advanced argument; comparison theorem; integral criteriaReferences:
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