@inproceedings{1bbc0a7bd638488c8bdecaa18cb7ae6e,

title = "Local p-Adic Differential Equations",

abstract = "This paper studies divergence in solutions of p-adic linear local differential equations. Such divergence is related to the notion of p-adic Liouville numbers. Also, the influence of the divergence on the differential Galois groups of such differential equations is explored. A complete result is given for second order equations and a conjecture for higher order equations is proposed.",

keywords = "divergence, Liouville numbers, differential equations, p-adic analysis",

author = "Put, {Marius van der} and Lenny Taelman",

note = "Relation: http://www.rug.nl/informatica/organisatie/overorganisatie/iwi Rights: University of Groningen. Research Institute for Mathematics and Computing Science (IWI); 2nd International Conference on p-Adic Mathematical Physics ; Conference date: 15-09-2005 Through 21-09-2005",

year = "2005",

language = "English",

series = "AIP conference proceedings",

publisher = "AIP PRESS",

pages = "291--297",

editor = "Khrennikov, {A Yu} and Z. Rakic and I.V. Volovich",

booktitle = "p-adic mathematical physics",

}