双线性形式

对于其中的可积系统，往往是双线性形式。

It is often bilinear form for those integrable systems .

采用卷积双线性形式，给出了薄板准静态问题的简化Gurtin型泛函。

The corresponding simplified Gurtin type variational principle of FGM thin plates is presented by means of convolution bilinear forms .

然后，采用近代卷积双线性形式和传统笛卡儿双线性形式找到了相应的简化Gurtin型变分原理。

Meanwhile the corresponding simplified Gurtin-type variational principle is presented by means of modern convolution bilinear forms and classical Cartesian bilinear forms .

研究一类浅水波方程即广义强色散DGH方程，通过转化为双线性形式，得到了双Hamilton结构和一些守恒量。

One type of shallow water equations , namely , generalized DGH equation with strong dispersive term is introduced . By double linear formation , double Hamilton structure and some conservation laws are obtained .

在这里他开创了双线性对称形式的光谱理论。

Here he inaugurated the spectral theory of bilinear symmetric forms .

SH&GORDON方程的双线性微分形式

A bilinear differential form of the sh-gordon equation

双线性算子和非线性方程的双线性形式两种不同形式紧密纺纱线的性能比较

The Bilinear Operator and Bilinear Forms of Nonlinear Equations ; Performance comparison of two different compact-spun yarns

本文研究了一类具有最坏扰动抑制的双线性系统的最优控制问题。双线性系统是形式上最简单且最接近线性系统的一类非线性系统。

This thesis discusses the optimal control problem of a class of bilinear systems with the worst disturbance rejection . A bilinear system is a nonlinear system which is the simplest in form and most approximate to a linear system .

简要地总结了双线性算子及其主要性质和一些非线性方程的双线性形式，并对部分非线性偏微分方程如何变换成双线性形式进行了探讨；

This paper summarizes briefly the bilinear operator , its property , and some bilinear forms of nonlinear equations . Then we discuss the ways to transform some nonlinear partial differential equations into bilinear forms .