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Proceedings of the American Mathematical Society

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

 

 

A continuation result for differential equations


Author: T. A. Burton
Journal: Proc. Amer. Math. Soc. 67 (1977), 272-276
MSC: Primary 34A15; Secondary 34D20
DOI: https://doi.org/10.1090/S0002-9939-1977-0477224-8
MathSciNet review: 0477224
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Abstract: In this note we show how the Conti-Wintner and Yoshizawa continuation results can be strengthened and combined to produce a flexible continuation theorem. That result is then applied to second and third order equations.


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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1977-0477224-8
Keywords: Differential equations, continuation of solutions, differential inequalities, Liapunov functions
Article copyright: © Copyright 1977 American Mathematical Society