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Integral criteria of oscillation for a third order linear differential equation. (English) Zbl 0855.34038
The differential equation (1) $$y''' + p(t)y' + q(t)y = 0$$ is considered, where either $$p(t) \leq 0$$, $$q(t) > 0$$ or $$p(t) \leq 0$$, $$p'(t) - q(t) > 0$$ on $$I = (a, \infty) \subset (0, \infty)$$. New criteria for (1) to be oscillatory on $$I$$ (i.e. (1) has at least one oscillatory solution on $$I)$$ are presented in integral form. These criteria extend and improve some oscillation ones for (1) and may be applied to the Euler equation.

##### MSC:
 34C10 Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations 34A30 Linear ordinary differential equations and systems
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##### References:
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