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A Global Existence Theorem
Published online by Cambridge University Press: 20 November 2018
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The Cauchy-Peano existence theorem (1) does not allow us to decide from the form of a given system of equations whether or not its solution can be continued for the infinite interval -∞ < t < ∞. Several sufficient conditions for such a continuation were given by A. Wintner in (2). The main result of his paper is the following theorem which is not proven.
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- Copyright © Canadian Mathematical Society 1966
References
1.
Nemytskii, V.V. and Stepanov, V.V., Qualitative Theory of Differential Equations. Princeton Univ. Press, Princeton, (1960).Google Scholar
2.
Wintner, A., The Non-local existence problem of ordinary differential equations. Amer. Journal of Math. 67, (1945), pages 277-284.Google Scholar
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