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Stability and Asymptotic Behavior

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Ordinary Differential Equations

Part of the book series: Graduate Texts in Mathematics ((GTM,volume 182))

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Abstract

We resume the problems treated in §12. In contrast to the case investigated there, we now consider solutions defined on infinite intervals. In this setting, continuous dependence on initial conditions and on the right side of the differential equation is a significantly more complicated matter than in §12, where general results were obtained under restricted assumptions. Even in the simplest examples, new phenomena emerge when the interval is infinite.

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© 1998 Springer Science+Business Media New York

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Walter, W. (1998). Stability and Asymptotic Behavior. In: Ordinary Differential Equations. Graduate Texts in Mathematics, vol 182. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-0601-9_8

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  • DOI: https://doi.org/10.1007/978-1-4612-0601-9_8

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4612-6834-5

  • Online ISBN: 978-1-4612-0601-9

  • eBook Packages: Springer Book Archive

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