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Oscillation of third-order nonlinear neutral differential equations with a damping term. (Chinese. English summary) Zbl 1363.34097

Summary: This note is concerned with the oscillation of third-order nonlinear neutral differential equations with a damping term. In this paper, by using generalized Riccati transformation technique, general weight function and integral averaging technique, we simplify the proof steps and obtain two new sufficient conditions for the oscillation of the above equation. Two examples are inserted to illustrate the main results.

MSC:

34C10 Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations
34C20 Transformation and reduction of ordinary differential equations and systems, normal forms
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