具有结构阻尼和无限时滞的阻尼弹性系统mild解的存在性  

Existence of Mild Solutions for the Elastic Systems with Structural Damping and Infinite Delay

作　　者：李爱 范虹霞 Li Ai;Fan Hongxia(School 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

出　　处：《宁夏大学学报（自然科学版）》2019年第3期204-207,214,共5页Journal of Ningxia University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(11561040)

摘　　要：研究具有结构阻尼和无限时滞的弹性系统mild解的存在性.在非线性项满足一定条件的情况下,应用算子半群理论、相空间理论和不动点定理建立了所研究问题mild解的存在性结论.The existence of the mild solutions for the elastic systems with structural damping and infinite delay is studied. By using the theory of operator semigroup, phase space theory and related fixed point theorems, the existence of mild solutions is built under some appropriate conditions of the nonlinear term.

关 键 词：结构阻尼 时滞 弹性系统 MILD解 

分 类 号：O175.15[理学—数学]