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Electronic Colloquium on Computational Complexity

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REPORTS > KEYWORD > FINITE INTERVALS:
Reports tagged with finite intervals:
TR04-006 | 6th January 2004
Günter Hotz

A remark on nondecidabilities of the initial value problem of ODEs

We prove that it is not decidable on R-machines if for a fixed finite intervall [a,b) the solution of the initial value problems of systems of ordinary differetial equations have solutions over this interval. This result holds independly from assumptions about differentiability of the right sides of the ODEs. Futhermore ... more >>>




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