The W.K.B. Method for the Differential Equations of the Fourth Order

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概要

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• Here are studied some types of differential equations of the fourth order, to which the so-called W.K.B. method can be easily extended, and presented some exemplifying solutions up to the first order of approximation. As a physical example, the equation of lateral bending vibration of a not-completely flexible string, whose cross section of finite size is slowly varying along its length, and whose ends are both clamped, is solved. It is also shown that the terms of the first and the third differentation of a linear differential equation of the fourth order can be eliminated by a suitable transformation.

• 社団法人日本物理学会の論文
• 1959-12-05

著者

• Saito Tomoyuki

  Tokyo University Of Agriculture And Technology

• Oshida Isao

  Kobayashi Institute Of Physical Research

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