梁振动方程非局部问题mild解的存在性

Existence of Mild Solutions for Nonlocal Problem of Vibration Equations of Beam

利用凝聚映射的Sadovskii不动点定理及算子半群理论,研究抽象空间中具有结构阻尼的梁振动方程非局部问题,在相应于具有结构阻尼的梁振动方程的解半群是等度连续半群情形下,建立了该问题mild解的存在性定理.

In this paper,by using the Sadovskii fixed point theorem with respect to condensing operator and the theory of operator semigroup,the nonlocal problem of vibration equations of beam with structural damping in abstract spaces is discussed. And the existence result of mild solution for the nonlocal problem is built as the associated semigroups are equicontinuous.