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时标上高阶动力系统的Lyapunov型不等式

Lyapunov-type Inequalities for Some High-order Dynamic Equations on Time Scales
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摘要 利用分部积分公式和Holder’s不等式等相关知识,分别在不同边值条件下建立了两类高阶动力系统的Lyapunov型不等式,改进并推广了已有的相关研究成果. Using relevant knowledge such as the partial integral formula and Holder's inequality,the Lyapunov-type inequalities for two types of high-order dynamic systems are established under different boundary value condition,which improves and extends the existing research results.
作者 周欣 张启明 张明欢 ZHOUX Xin;ZHANG Qiming;ZHANG Minghuan(College of Science, Hunan University of Technology, Zhuzhou Hunan 412000, China)
出处 《佳木斯大学学报(自然科学版)》 CAS 2021年第2期168-170,共3页 Journal of Jiamusi University:Natural Science Edition
基金 国家自然科学基金面上项目(62073132) 湖南省自然科学基金面上项目(2019JJ40068)资助。
关键词 时标 Lyapunov型不等式 分部积分公式 Holder’s不等式 time scale Lyapunov-type inequalities the partial integral formula Holder’s inequality
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