Local p-Adic Differential Equations

Marius van der Put; Lenny Taelman

Local p-Adic Differential Equations

Marius van der Put, Lenny Taelman

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

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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.

Original language	English
Title of host publication	p-adic mathematical physics
Subtitle of host publication	2nd international conference, Belgrade, Serbia and Montenegro, 15-21 September, 2005
Editors	A Yu Khrennikov, Z. Rakic, I.V. Volovich
Place of Publication	New York
Publisher	AIP PRESS
Pages	291-297
Number of pages	7
ISBN (Electronic)	9780735403185
Publication status	Published - 2005
Event	2nd International Conference on p-Adic Mathematical Physics - Belgrade, Serbia Duration: 15-Sep-2005 → 21-Sep-2005

Publication series

Name	AIP conference proceedings
Publisher	AIP
Volume	826

Conference

Conference	2nd International Conference on p-Adic Mathematical Physics
Country/Territory	Serbia
City	Belgrade
Period	15/09/2005 → 21/09/2005

Keywords

divergence
Liouville numbers
differential equations
p-adic analysis

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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",

}

Put, MVD & Taelman, L 2005, Local p-Adic Differential Equations. in AY Khrennikov, Z Rakic & IV Volovich (eds), p-adic mathematical physics: 2nd international conference, Belgrade, Serbia and Montenegro, 15-21 September, 2005. AIP conference proceedings, vol. 826, AIP PRESS, New York, pp. 291-297, 2nd International Conference on p-Adic Mathematical Physics, Belgrade, Serbia, 15/09/2005.

Local p-Adic Differential Equations. / Put, Marius van der; Taelman, Lenny.

p-adic mathematical physics: 2nd international conference, Belgrade, Serbia and Montenegro, 15-21 September, 2005. ed. / A Yu Khrennikov; Z. Rakic; I.V. Volovich. New York : AIP PRESS, 2005. p. 291-297 (AIP conference proceedings; Vol. 826).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

TY - GEN

T1 - Local p-Adic Differential Equations

AU - Put, Marius van der

AU - Taelman, Lenny

N1 - Relation: http://www.rug.nl/informatica/organisatie/overorganisatie/iwi Rights: University of Groningen. Research Institute for Mathematics and Computing Science (IWI)

PY - 2005

Y1 - 2005

N2 - 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.

AB - 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.

KW - divergence

KW - Liouville numbers

KW - differential equations

KW - p-adic analysis

UR - https://books.google.nl/books?id=TaPvAAAAMAAJ&dq=ISBN:073540318X&hl=&source=gbs_api

M3 - Conference contribution

T3 - AIP conference proceedings

SP - 291

EP - 297

BT - p-adic mathematical physics

A2 - Khrennikov, A Yu

A2 - Rakic, Z.

A2 - Volovich, I.V.

PB - AIP PRESS

CY - New York

T2 - 2nd International Conference on p-Adic Mathematical Physics

Y2 - 15 September 2005 through 21 September 2005

ER -

Local p-Adic Differential Equations

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Publication series

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Keywords

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