STATIONARITY PRINCIPLE FOR NON-CONSERVATIVE DYNAMICAL-SYSTEMS

被引：3

作者：

ATANACKOVIC, TM

机构：

来源：

INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS | 1978年 / 13卷 / 03期

关键词：

D O I：

10.1016/0020-7462(78)90002-1

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

A stationarity principle for non-conservative, holonomic dynamical systems is formulated. It is based on the notion of Gâteaux directional derivative. Its relation to the classical and variational principle with non-commutative variational rules is discussed. © 1978.

引用

页码：139 / 143

页数：5

共 8 条

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[2]

Vujanovic, A variational principle for non-conservative dynamical systems, Z. angew. Math. Mech., 55, pp. 321-331, (1975)

[3]

Lure, Analytical Mechanics, (1961)

[4]

Djukic, Vujanovic, On some geometrical aspects of classical non-conservative mechanics, Journal of Mathematical Physics, 16, pp. 2099-2102, (1975)

[5]

Rall, Non-linear Functional Analysis and Applications, (1971)

[6]

Ioffe, Tihomirov, The Theory of Extremal Problems, (1974)

[7]

Hale, Ordinary Differential Equations, (1969)

[8]

Djukic, Vujanovic, Noether's theory in classical non-conservative mechanics, Acta Mech., 23, pp. 17-27, (1975)

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