ON THE NEW FORMS OF THE DIFFERENTIAL EQUATIONS OF THE SYSTEMS WITH HIGHER-ORDER NONHOLONOMIC CONSTRAINTS

In this paper,the new forms of the differential equations of motion of the systems withhigher-order nonholonomic constraints are obtained at first,and then the equivalencebetween these equations and the known equations is demonstrated.Finally an example isgiven to illustrate the application of our new equations.     

关于高阶非完整系统的一类新型运动微分方程

本文首先得到高阶非完整系统的一类新型运动微分方程,其次证明它们与已知方程的等价性,最后举例说明新方程的应用.     

Gauss white noise perturbations of nonholonomic mechanical systems

The perturbations of nonholonomic mechanical systems under the Gauss white noises are studied in this paper.It is proved that the differential equations of the first-order moments of the solution process coincide with the corresponding equations in the non-perturbational case,and that there areε~2-terms but noε-terms in the differential equations of the second-order moments.Two propositions are obtained.Finally,an example is given to illustrate the application of the results.     

On the new forms of the differential equations of the systems with higher-order nonholonomic constraints

In this paper, the new forms of the differential equations of motion of the systems with higher-order nonholonomic constraints are obtained at first, and then the equivalence between these equations and the known equations is demonstrated. Finally an example is given to illustrate the application of our new equations.     

关于Erdos序列的一个定理（英）

ＡＴｈｅｏｒｅｍｏｎＥｒｄｏｓＳｅｑｕｅｎｃｅｓＳｈｅｎＺｅｃｈｕｎ（ＥｎｇｉｎｅｅｒｉｎｇＣｏｌｌｅｇｅｏｆＡｎｓｈａｎＩｒｏｎ＆ＳｔｅｅｌＣｏｍｐａｎｙＡｎｓｈａｎ１１４００２）ＡＴｈｅｏｒｅｍｏｎＥｒｄｏｓＳｅｑｕｅｎｃｅｓＳｈｅｎＺｅｃｈｕｎ...     

非完整系统在Gauss白噪声下的扰动

本文研究非完整系统在Gauss白噪声下的扰动,证明解过程的一次矩方程与无扰动情形下的方程一致,二次矩方程不含ε项,但包含ε2项,从而得出两个命题.最后,举例说明结果的应用.