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Third-order neutral delay differential equations: new iterative criteria for oscillation. (English) Zbl 1459.34154

Summary: This study is aimed at developing new criteria of the iterative nature to test the oscillation of neutral delay differential equations of third order. First, we obtain a new criterion for the nonexistence of the so-called Kneser solutions, using an iterative technique. Further, we use several methods to obtain different criteria, so that a larger area of the models can be covered. The examples provided strongly support the importance of the new results.

MSC:

34K11 Oscillation theory of functional-differential equations
34K40 Neutral functional-differential equations

References:

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