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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Third order linear differential equations with periodic coefficients


Author: L. H. Erbe
Journal: Proc. Amer. Math. Soc. 64 (1977), 241-247
MSC: Primary 34D35
DOI: https://doi.org/10.1090/S0002-9939-1977-0454208-7
MathSciNet review: 0454208
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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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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1977-0454208-7
Keywords: Periodic solution, Floquet theory, characteristic multipliers, disconjugacy, oscillation
Article copyright: © Copyright 1977 American Mathematical Society