一类热弹性板的Phragmén-Lindelof二择一结果

吉林大学学报(理学版) ›› 2021, Vol. 59 ›› Issue (4): 846-854.

一类热弹性板的Phragmén-Lindelof二择一结果

石金诚¹, 肖胜中²

1. 广州华商学院数据科学学院, 广州 511300； 2. 广东农工商职业技术学院科研处, 广州 510507

收稿日期:2020-11-27 出版日期:2021-07-26 发布日期:2021-07-26
通讯作者: 肖胜中 E-mail:172013444@qq.com

Phragmén-Lindelof Alternative Results for a Class of Thermoelastic Plates

SHI Jincheng¹, XIAO Shengzhong²

1. School of Date Science, Guangzhou Huashang College, Guangzhou 511300, China;
2. Department of Scientific Research, Guangdong AIB Polytechnic College, Guangzhou 510507, China

Received:2020-11-27 Online:2021-07-26 Published:2021-07-26

摘要/Abstract

摘要： 考虑一类含有双调和算子的热弹性板的空间性质, 通过构造一个能量函数, 利用微分不等式技术, 推导出该能量函数可由其自身一阶导数控制的微分不等式, 并给出解的Phragmén-Lindelof二择一结果.

关键词: 热弹性板, Phragmén-Lindelof二择一, Saint-Venant原则, 双调和方程

Abstract: We considered the spatial properties of a class of thermoelastic plates with biharmonic operators. By constructing an energy function and using the technique of differential inequality, we derived a differential inequality in which the energy function could be controlled by its first derivative, and gave the Phragmén-Lindelof alternative result of the solution.

Key words: thermoelastic plate, Phragmén-Lindelof alternative, Saint-Venant principle, biharmonic equation

中图分类号:

O175.29

石金诚, 肖胜中. 一类热弹性板的Phragmén-Lindelof二择一结果[J]. 吉林大学学报(理学版), 2021, 59(4): 846-854.

SHI Jincheng, XIAO Shengzhong. Phragmén-Lindelof Alternative Results for a Class of Thermoelastic Plates[J]. Journal of Jilin University Science Edition, 2021, 59(4): 846-854.

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