1) the least action principle
极小作用原理
1.
Applications of the least action principle to second order Hamiltonian systems;
极小作用原理在二阶Hamilton系统中的应用
2.
The existence and multiplicity of periodic solutions for a class of Lagrangian systems are obtained by the least action principle and a three-critical-point theorem.
用极小作用原理和一个三临界点定理得到了Lagrange系统周期解的存在性与多重性条件。
3.
t∈[-T/2,T/2] by using the least action principle where HT′=u∶[-T/2,T/2]→RNu is absolutely continuous,,u(-T/2)=u(T/2)and·∈L2(-T/2,T/2;RN).
通过利用极小作用原理得到了二阶非自治Hamilton系统ü(t)=F(t,u(t))u(0)-u(T)=。
2) least action principle
极小作用原理
1.
An existence result is obtained for solution of the singular semilinear elliptic Dirichlet boundary value problem-Δu=u-γ+g(x,u) in Ω,u>0 in Ω,and u=0 on Ω,by the least action principle,where ΩRn(n≥3) is a bounded domain and γ>0 is a constant.
运用极小作用原理获得了奇异半线性椭圆Dirichlet边值问题:-Δu=u-γ+g(x,u)x∈Ωu>0x∈Ωu=0x∈Ω的一个存在性结果,其中ΩRn(n≥3)是一个有界区域,γ是正常数。
2.
By a variant version of Mountain Pass Theorem and the least action principle, the existence and multiplicity of solutions are obtained for a class of asymptotically linear elliptic equations with Dirichlet boundary value problem.
通过一个变形的山路引理及极小作用原理,得到了一类带有Dirichlet边值的渐近线性椭圆方程的解的存在性及多解性。
3.
The existence and multiplicity results are obtained for solutions of a class of the semilinear elliptic equations with Hardy terms by the least action principle and the minimax methods, respectively.
分别用极小作用原理和极小极大方法证明了一类具有Hardy项的半线性椭圆方程解的存在性和多重性。
3) the dual least action principle
极小对偶作用原理
4) principle of least action
最小作用量原理
1.
The reflection coefficient and refraction coefficient are also given; the analysis shows the versatility of the principle of least action,Snell s law and Fresnell s law in the research on the left-handed material,and the negative refraction effect is explained.
研究了电磁波在左右手介质界面折射与反射的特性,给出了折射系数和反射系数,从另外一个方面探讨了最小作用量原理在左手材料中的适用性;从电动力学和最小作用量原理证明了Snell定律,验证了Snell定律在左手材料中的适用性,并且得到Fresnell公式在左右手材料中的一致性。
2.
In this paper,we psesented that the principle of least action or Hamilton principle is ample and necessary condition of Lagrangian equation,pointed out the properties of Lagrangian function briefly,and gave the generalization and application of Lagrangian function in physics.
本文论述了力学最小作用量原理或哈密顿原理是拉格朗日方程的充分必要条件,简述了拉格朗日函数的性质,指出最小作用量原理及拉格朗日函数在物理学中的推广及应用。
3.
This paper discusses the mechanical properties of noncontemporaneous variation,from which the Hamilton principle and the principle of least action are derived.
本文讨论了非等时变分的力学性质，并由此导出Ｈａｍｉｌｔｏｎ原理和最小作用量原理。
5) Least-action principle
最小作用量原理
1.
The application of the least-action principle in electricity;
最小作用量原理在电学中的应用实例
2.
According to the Least-action principle,Distribution of Charge on Conductor surface is discussed by using of method of Lagrange s multiplier,and some useful results are obtained.
依据最小作用量原理,利用Lagrange乘数法讨论了导体上电荷的分布问题,得到了一些有用的结果。
6) the least-action principle
最小作用量原理
1.
This paper analyses the development process of the least-action principle in physicsis and discusses its internal implications and functions.
分析物理学中最小作用量原理的发展和形成过程,并讨论其在基础物理学、理论物理学中的地位和重要作用,以及其深刻内涵。
补充资料：力的独立作用原理
| 力的独立作用原理 forces，principle of physical independence of 一质点同时受几个力作用，各力分别产生自己的效果，而不互相影响。这是牛顿作为牛顿第二定律的推理而首先提出的。这几个力合称力系，因此这原理又可表达为力系的总作用是各力的分别作用的叠加，而称为力的叠加原理。求力系产生的加速度时，可按本原理先求出各力产生的加速度，然后用矢量加法求出其叠加效果；也可先求出合力再求加速度。 |
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条