具有结构阻尼和无限时滞的梁振动方程mild解的存在性  

Existence of mild solutions for the beam vibration equation with structural damping and infinite delay

作　　者：李爱 LI Ai(College of Mathematics and Physics, Lanzhou Jiaotong University, Lanzhou 730070, China)

机构地区：[1]兰州交通大学数理学院,甘肃兰州730070

出　　处：《陕西理工大学学报（自然科学版）》2018年第6期84-88,共5页Journal of Shaanxi University of Technology:Natural Science Edition

摘　　要：研究具有结构阻尼和无限时滞的梁振动方程mild解的存在性。在非线性项满足一定条件下,利用算子半群理论、相空间理论和Banach压缩映射原理证明了方程解的存在性。推广了梁振动方程mild解存在性的有关结果。In this paper,we have studied the existence of the mild solutions for the beam vibration e-quation with structural damping and infinite delay.By using the theory of operator semigroup,phase space theory and Banach compression mapping principle,the existence of mild solutions is built under some appropriate conditions of the nonlinear term.The related results of the existence of the mild solution of the beam vibration equation are generalized.

关 键 词：结构阻尼 时滞 梁振动方程 MILD解 

分 类 号：O175.15[理学—数学]