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中文摘要：
研究相空间中含时滞的非保守力学系统的Noether对称性与守恒量。建立含时滞的非保守系统动力学的Hamilton正则方程；依据相空间中含时滞的Hamilton作用量在无限小群变换下的广义准不变性，给出相空间中含时滞的Noether广义准对称变换的定义和判据；并建立相空间中含时滞的非保守力学系统的Noether对称性与守恒量之间的联系。文末，举例说明结果的应用。
英文摘要：
The Noether symmetries and the conserved quantities for nonconservative mechanical systems with time delay in phase space are studied .Firstly, the Hamilton canonical equations with time delays for the non-conservative systems are established .Secondly , according to the generalized quasi-invariance of the Hamilton action with time delay in phase space under the infinitesimal transformations of groups , the definitions and criterion of the Noether generalized quasi-symmetric transformations with time delay in phase space are given .Lastly, the relationship between the Noether symmetries and the conserved quanti-ties with time delay in phase space are established .At the end , an example is given to illustrate the ap-plication of the results .
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