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A Global Existence Theorem

Published online by Cambridge University Press:  20 November 2018

M. Eisen
M. Eisen*
Affiliation:
University of Pittsburgh
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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.

Type
Notes and Problems
Information
Canadian Mathematical Bulletin , Volume 9 , Issue 4 , October 1966 , pp. 519 - 520
Copyright
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