張敏

【摘要】該文研究一類具有時(shí)滯非自治泛函動(dòng)力方程，用錐中的一個(gè)不動(dòng)點(diǎn)定理研究了這類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條件。進(jìn)一步用 -導(dǎo)數(shù)代替普通意義下的倒數(shù)，同樣也得到了正周期解的存在性的充分條件。

【關(guān)鍵詞】脈沖泛函動(dòng)力方程 時(shí)間標(biāo)價(jià) 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.

【中圖分類號(hào)】G4 【文獻(xiàn)標(biāo)識(shí)碼】A 【文章編號(hào)】2095-3089（2015）14-0063-03