Third order linear differential equations with periodic coefficients

Erbe, L. H.

doi:10.1090/S0002-9939-1977-0454208-7

Third order linear differential equations with periodic coefficients
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by L. H. Erbe

Proc. Amer. Math. Soc. 64 (1977), 241-247

DOI: https://doi.org/10.1090/S0002-9939-1977-0454208-7

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Abstract:

The third order linear differential equation $Ly = y''’ + {p_2}(t)y'' + {p_1}(t)y’ + {p_0}(t)y = 0$ is studied, where ${p_i}(t)$ are continuous real-valued and periodic of period $\omega > 0$. Various criteria are obtained which guarantee “partial” asymptotic stability or instability by means of effective bounds on the Floquet characteristic multipliers of $Ly = 0$.

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