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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.

Information

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