Abstract
In this paper we consider the equation y ‴+q(t)y ′α + p(t)h(y)=0, where p, q are real valued continuous functions on [0, ∞) such that q(t) ≥ 0, p(t) ≥ 0 and h(y) is continuous in (−∞, ∞) such that h(y)y > 0 for y ≠ 0. We obtain sufficient conditions for solutions of the considered equation to be nonoscillatory. Furthermore, the asymptotic behaviour of these nonoscillatory solutions is studied.
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Tiryaki, A., Çelebi, A.O. Nonoscillation and asymptotic behaviour for third order nonlinear differential equations. Czechoslovak Mathematical Journal 48, 677–685 (1998). https://doi.org/10.1023/A:1022431405010
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DOI: https://doi.org/10.1023/A:1022431405010