具有结构阻尼的梁振动方程mild解的存在性  

Existence of Mild Solutions for the Vibration Equations of Beam with Structural Damping

作　　者：高飞[1] 范虹霞[1] Gao Fei Fan Hongxia(School of Mathematics and Physics, Lanzhou J iaotong University, Lanzhou 730070, Chin)

机构地区：[1]兰州交通大学数理学院,甘肃兰州730070

出　　处：《宁夏大学学报（自然科学版）》2017年第1期9-14,共6页Journal of Ningxia University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(11561040);兰州交通大学青年科学基金资助项目(2013025)

摘　　要：应用凸幂凝聚算子不动点定理,研究Banach空间中具有结构阻尼的梁振动方程mild解的存在性.在具有结构阻尼的梁振动方程的解半群是等度连续半群的情形下,获得了该问题整体mild解和正mild解的存在性.By using the fixed point theorem of convex-power condensing operator,the existence of mild solutions for the vibration equations of beam with structural damping in Banach spaces is studied.The existence of global mild solutions and positive mild solutions for the initial value problem is obtained as the associated semigroups are equicontinuous.

关 键 词：结构阻尼 梁振动方程 凸幂凝聚算子 等度连续半群 MILD解 

分 类 号：O175.15[理学—数学]