Computability, noncomputability and undecidability of maximal intervals of IVPs. Graça, D. S., Zhong, N., & Buescu, J. Trans. Amer. Math. Soc., 361(6):2913–2927, 2009.
Computability, noncomputability and undecidability of maximal intervals of IVPs [link]Paper  doi  bibtex   
@ARTICLE{GZB09,
  author = {Gra{\c{c}}a, D. S. and Zhong, N. and Buescu, J.},
  title = {Computability, noncomputability and undecidability of maximal intervals
	of {IVP}s},
  journal = {Trans. Amer. Math. Soc.},
  year = {2009},
  volume = {361},
  pages = {2913--2927},
  number = {6},
  coden = {TAMTAM},
  doi = {10.1090/S0002-9947-09-04929-0},
  fjournal = {Transactions of the American Mathematical Society},
  issn = {0002-9947},
  keywords = {bib,cca},
  mrclass = {03D35 (34A12 65L05 68Q17)},
  mrnumber = {2485412 (2010f:03046)},
  mrreviewer = {Klaus Weihrauch},
  owner = {Vasco},
  timestamp = {2013.12.01},
  url = {http://dx.doi.org/10.1090/S0002-9947-09-04929-0}
}

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