| 时标线性微分方程组的Massera准则 |
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| 引用本文： | 张宇,索忠林,任彪.时标线性微分方程组的Massera准则[J].吉林大学学报(理学版),2013,51(5):843-844. |
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| 作者姓名： | 张宇 索忠林 任彪 |
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| 作者单位： | 1. 空军航空大学 基础部, 长春 130022； 2. 山西建筑职业技术学院, 太原 030006 |
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| 基金项目： | 吉林省自然科学基金青年基金(批准号:20130522095JH) |
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| 摘 要： | 考虑时标线性微分方程组的Massera准则, 应用常数变易法证明了时标线性微分方程组yΔ=A(t)y+f(t)存在ω-周期解的充要条件是其存在一个有界解.
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| 关 键 词： | 时标 线性微分方程组 常数变易法 周期解 有界解 Massera准则 |
| 收稿时间： | 2013-08-09 |
Massera Type Criteria for Linear Differential Systems on Time Scales |
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| ZHANG Yu;SUO Zhong-lin;REN Biao.Massera Type Criteria for Linear Differential Systems on Time Scales[J].Journal of Jilin University: Sci Ed,2013,51(5):843-844. |
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| Authors: | ZHANG Yu;SUO Zhong-lin;REN Biao |
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| Institution: | 1. Department of Foundation, Aviation University of Air Force, Changchun 130022, China;2. Shanxi Architectural College, Taiyuan 030006, China |
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| Abstract: | We studied Massera type of criteria for linear differential systems on time scales. Using variation of constant formula, we provedthe necessary and sufficient condition for the Massera type of criteria for linear differential systems on time scales yΔ=A(t)y+f(t) to possess ω periodic solutions is the existence of a boundedsolution. |
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| Keywords: | time scales linear differential systems variation of constants formula periodic solution bounded solution Massera type of criteria |
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