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On oscillation of nonlinear second-order differential equations with damping term. (English) Zbl 1061.34021

Authors’ abstract: The paper is concerned with oscillation of a novel class of nonlinear differential equations with a damping term. First, it is demonstrated how known oscillation results for another intensively studied class of equations can be translated to the one in question, and vice versa. Advantages and drawbacks of such translation are carefully examined. Then, an oscillation criterion for the new class of equations is established. The main result of the paper is compared with those reported in the literature, and an illustrative example to which known oscillation criteria fail to apply is provided.

MSC:

34C10 Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations
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