【摘要】 对某些无穷维动力系统的研究现状及研究方法进行了总结与评述.考虑材料的粘性效应,建立了一类轴向载荷作用下的更一般的粘弹性梁方程,并利用G a lerk in方法,证明了该方程在非线性边界条件下整体解的存在性,解对初值的连续依赖性,整体解的唯一性.更多还原

【Abstract】 After an overall review and description over the current researches on and the research approaches for certain infinite-dimensional dynamic systems,the authors have established an equation for elastic beams under axial loads,while taking into account of the viscous effect of beam materials.By employing Galerkin approach,the authors have proved the existence and uniqueness of the global solutions to the equation hereinabove under nonlinear boundary condition,and proved the continuous dependence of the solutions on initial values.更多还原