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中文摘要：
讨论具有无穷时滞的非线性退化微分系统E（t）x^·（t）=A（t）x（t）＋∫-∞^0H（t,s）x（t＋s）ds＋f（t,xt）的周期解问题．利用矩阵测度和Krasnoselskii不动点定理获得了系统存在周期解的充分条件，并且实例说明了所得结果的有效性．
英文摘要：
In this paper, we discuss the periodic solutions of nonlinear degenerate differential systems with infinite delay of the following E（t）x^·（t）=A（t）x（t）＋∫-∞^0H（t,s）x（t＋s）ds＋f（t,xt） Using the matrix measure and Krasnoselskii＇s fixed point theorem, the sufficient conditions of the existence of periodic solutions are obtained, and art example is also given to illustrate the validity of the results.
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