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【摘要】该文研究一类具有时滞非自治泛函动力方程，用锥中的一个不动点定理研究了这类方程的正周期解的存在性，并且得到了正周期解存在的充分条件。进一步用 -导数代替普通意义下的倒数，同样也得到了正周期解的存在性的充分条件。
【关键词】脉冲泛函动力方程 时间标价 正周期解
A new existence of periodic positive solutions for impulsive functional
Dynamic equation on time scales
ZHANG Min， HONG Shi-huang， FENG Xia
（Institute of Applied Mathematics and Engineering Computations， Hangzhou Dianzi University， Zhejiang Hangzhou 310018 ， China）
【Abstract】This paper deals with a new existence theorem for periodic solutions to a class of non-autonomous impulsive functional dynamic equation with delays on time scale by employing a fixed point theorem in cones. Use a fixed point therorem to obtain a positive solution.To apply the derivative instead of the general derivative，we can obtain a positive solution.
【Key words】Impulsive functional dynamic equation； Time scale； Periodic solution.
【中圖分类号】G4 【文献标识码】A 【文章编号】2095-3089（2015）14-0063-03
【关键词】脉冲泛函动力方程 时间标价 正周期解
A new existence of periodic positive solutions for impulsive functional
Dynamic equation on time scales
ZHANG Min， HONG Shi-huang， FENG Xia
（Institute of Applied Mathematics and Engineering Computations， Hangzhou Dianzi University， Zhejiang Hangzhou 310018 ， China）
【Abstract】This paper deals with a new existence theorem for periodic solutions to a class of non-autonomous impulsive functional dynamic equation with delays on time scale by employing a fixed point theorem in cones. Use a fixed point therorem to obtain a positive solution.To apply the derivative instead of the general derivative，we can obtain a positive solution.
【Key words】Impulsive functional dynamic equation； Time scale； Periodic solution.
【中圖分类号】G4 【文献标识码】A 【文章编号】2095-3089（2015）14-0063-03