On The Equilibrium Positions of A Square On An Elastic Wire with Energy Involving Arc Length

On The Equilibrium Positions of A Square On An Elastic Wire with Energy Involving Arc Length

凌家東(Chia-Tung Ling)

指導教授 ： 郭忠勝

國立臺灣師範大學/理學院/數學系/碩士(2002年)

摘要

無資料

關鍵字

HASH(0xa311080) ； HASH(0xa3110f8) ； HASH(0xa311170)

並列摘要

We study the equilibrium positions of a square, allowing to move
freely on an elastic wire. The energy under consideration is involving
the arc length of admissible function. We obtain the necessary and
sufficient condition for the existence of minimizers on the weight of
the solid body in each case. We also characterize the position(s) of the
minimizer(s) in each case.

並列關鍵字

The Equilibrium Positions of A Square ； An Elastic Wire ； Energy Involving Arc Length

參考文獻

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Their Applications, Academic. Press, 1980.

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