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On oscillatory solutions of quasilinear differential equations. (English) Zbl 1103.34016
The authors present necessary and sufficient conditions for the existence of at least one oscillatory solution of a second-order quasilinear differential equation. The results obtained yield also new conditions guaranteeing the coexistence of oscillatory and nonoscillatory solutions.

34C10Qualitative theory of oscillations of ODE: zeros, disconjugacy and comparison theory
Full Text: DOI
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