1) Picone type identity
Picone型恒等式
1.
In this paper, we prove a generalized Picone type identity on the homogeneous group.
本文给出了齐次群上的一类广义Picone型恒等式,由此证明了以下半线性方程组(其中 表示齐次群上的广义梯度)的Sturmian比较定理及一类振荡定理,并用于Heisenberg群上一类半线性方程。
2) Picone's identity
Picone恒等式
3) Picone identity
Picone恒等式
4) Generalized Picone-type identity
广义Picone型恒等式
5) Pohozaev type indentity
Pohozaev型恒等式
1.
In this paper, by using systemtric mountain pass theorem and Pohozaev type indentity, we study the existence of nontrivial solutions and the necessary conditions for the existence of solutions about no homogeneous quasilinear equation in exterior unit ball.
本文应用对称山路定理和Pohozaev型恒等式得到了非齐次拟线性方程在单位球外域中解的存在性以及解存在的必要条件。
6) quadratic-form identity
二次型恒等式
1.
Integrable couplings of the KdV hierarchy is obtained by use of the new subalgebra of the loop algebra,then the Hamiltonian structure of the above system is given by the quadratic-form identity.
利用loop代数的半直和得到KdV族的可积耦合,通过二次型恒等式得到它的哈密顿结构。
2.
Since the trace iden-tity fails to generate Hamiltonian structures of integrable couplings,the quadratic-form identity was proposed, which is an extension ofthe trace identity.
由于迹恒等式无法寻求可积耦合的Hamilton结构,所以人们提出了二次型恒等式,它是迹恒等式的推广,是寻求可积耦合的Hamilton结构的有效方法。
3.
Further more,the Hamilton ian structure of its integrable couplings is worked out by using of the quadratic-form identity,which is of Liouville intergrable.
首先构造了一个loop代数,根据(2+1)维零曲率方程计算得到(2+1)维KdV族的可积耦合,然后通过二次型恒等式得到它的哈密顿结构。
补充资料：储蓄-投资恒等式
储蓄-投资恒等式：基于国民收入会计角度反映经济活动事后的储蓄与投资恒等关系。
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