A Global Existence Theorem
Canadian mathematical bulletin, Tome 9 (1966) no. 4, pp. 519-520
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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.
Eisen, M. A Global Existence Theorem. Canadian mathematical bulletin, Tome 9 (1966) no. 4, pp. 519-520. doi: 10.4153/CMB-1966-064-7
@article{10_4153_CMB_1966_064_7,
author = {Eisen, M.},
title = {A {Global} {Existence} {Theorem}},
journal = {Canadian mathematical bulletin},
pages = {519--520},
year = {1966},
volume = {9},
number = {4},
doi = {10.4153/CMB-1966-064-7},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1966-064-7/}
}
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