Higher dimensional problems in the discrete calculus of variations †
作者:
JOHNDAVID LOGAN,
期刊:
International Journal of Control
(Taylor Available online 1973)
卷期:
Volume 17,
issue 2
页码: 315-320
ISSN:0020-7179
年代: 1973
DOI:10.1080/00207177308932379
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
The purpose of this paper is to formulate a calculus of variations for certain discrete systems which are governed by second order partial difference equations. This is accomplished by deriving necessary conditions for a multiple sum to be extremal. The procedure used to obtain the necessary conditions yields boundary terms which in turn load to natural boundary conditions and conservation laws for the discrete system.
点击下载:
PDF (189KB)
返 回