A resolution of the euler operator. I

Peter J. Olver; Chehrzad Shakiban

doi:10.1090/S0002-9939-1978-0486822-8

A resolution of the euler operator. I

Peter J. Olver, Chehrzad Shakiban

School of Mathematics

Research output: Contribution to journal › Article › peer-review

18 Scopus citations

Abstract

We give examples of differential fields which are not differentially closed but which become differentially closed when one adjoins Formula Presented; differential fields whose differential closures are therefore minimal.

Original language	English (US)
Pages (from-to)	223-229
Number of pages	7
Journal	Proceedings of the American Mathematical Society
Volume	69
Issue number	2
DOIs	https://doi.org/10.1090/S0002-9939-1978-0486822-8
State	Published - May 1978

Keywords

Calculus of variations
Differential algebra
Euler operator
Lagrangian

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10.1090/S0002-9939-1978-0486822-8

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title = "A resolution of the euler operator. I",

abstract = "We give examples of differential fields which are not differentially closed but which become differentially closed when one adjoins Formula Presented; differential fields whose differential closures are therefore minimal.",

keywords = "Calculus of variations, Differential algebra, Euler operator, Lagrangian",

author = "Olver, {Peter J.} and Chehrzad Shakiban",

year = "1978",

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KW - Calculus of variations

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KW - Lagrangian

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A resolution of the euler operator. I

Abstract

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