论文信息 - On oscillatory solutions of quasilinear differential equations

On oscillatory solutions of quasilinear differential equations

Abstract Necessary and sufficient conditions for the existence of at least one oscillatory solution of a second-order quasilinear differential equation are presented. These results yield also new conditions guaranteeing the coexistence of oscillatory and nonoscillatory solutions. Our approach is based on the asymptotic representation of solutions by means of a periodic function and of a suitable zero-counting function.

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