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Abstract
The purpose of this paper is to study the time-integral theorems for the Birkhoff systems. A time-integral identity of the systems is presented. The power-like equation, the Pfaff-Birkhoff integral variational principle and the Pfaff-Birkhoff-d′Alembert differential variational principle of the systems are deduced by using the time-integral identity.

Keywords:
Birkhoff system/

time-integral identity/

power-like equation/

variational principle
Authors and contacts
Ge Wei_Kuan²,

Mei Feng_Xiang¹
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