三边树形一维Euler-Bernoulli梁网络的L^(2)-适定性和正则性  

L^(2)-Well-Posedness and Regularity of 1-d Euler-Bernoulli Beams on a Three-Edge-Tree Shaped Network

作　　者：祁琪 刘东毅 许跟起 QI Qi;LIU Dongyi;XU Genqi(School of Mathematics,Tianjin University,Tianjin 300350)

机构地区：[1]天津大学数学学院,天津300350

出　　处：《系统科学与数学》2022年第12期3173-3188,共16页Journal of Systems Science and Mathematical Sciences

基　　金：国家自然科学基金(61773277)资助课题。

摘　　要：文章考虑了由三根Euler-Bernoulli梁构成的一维网络系统.通过构造适当的乘子,文章证明了开环网络系统是L^(2)-适定的.根据输入-输出传递函数的渐近分析估计,验证了开环系统的正则性.最后,进一步讨论了其他边界条件.The 1-d network system consisting of three Euler-Bernoulli beams is considered.By constructing appropriate multiplies we show that the open-loop network system is L^(2)-well-posed.In light of an asymptotic estimation of the input-output transfer function of system,it is verified that the open-loop system is regular.In the end,we further discuss other boundary conditions.

关 键 词：EULER-BERNOULLI梁 开环系统 L^(2)-适定性 正则性 树形网络 

分 类 号：O175[理学—数学]