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On oscillation and asymptotic property of a class of third order differential equations

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Abstract

In this paper, oscillation and asymptotic behaviour of solutions of \(y''' + a(t)y'' + b(t)y' + c(t)y = 0\) have been studied under suitable assumptions on the coefficient functions \(a,b,c \in C([\sigma ,\infty ),\mathbb{R}),{\text{ }}\sigma \in \mathbb{R}\) such that a(t ≥ 0, b(t) ≤ 0 and c(t) < 0.

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Parhi, N., Pardi, S. On oscillation and asymptotic property of a class of third order differential equations. Czechoslovak Mathematical Journal 49, 21–33 (1999). https://doi.org/10.1023/A:1022495705823

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