可修复系统适定性和稳定性  

The Well-possedness and Stability of the Repairable System

作　　者：宋丽[1] 郑福[2] 

机构地区：[1]渤海大学经法学院,辽宁锦州121002 [2]渤海大学数学系,辽宁锦州121002

出　　处：《数学的实践与认识》2012年第14期239-244,共6页Mathematics in Practice and Theory

基　　金：国家自然科学基金资助(11101051)

摘　　要：为了研究可修复系统适定性和稳定性,首先利用Co半群理论,研究了Volterra方程的适定性和渐进行为.其次利用特征线法求得系统方程的时间依赖解,通过边界条件将其转化为有限维空间上的Volterra方程.最后,由所建立的Volterra方程的相关结果,得到了可修复系统的适定性和稳定性.In order to study the well-posedness and stability of the repairable system, the corresponding properties of the Volterra equation were firstly discussed by the theory of Co semigroups. The time dependent solution to the partial differential equations of the repairable system were then obtained by the method of characteristic curve and transformed into Volterra equation on finite dimensions space through the boundary conditions. The well-possedness and asymptotic behavior of the Volterra equation were obtained by the theory of Co semigroups. The result of the well-possedness and stability of the repairable system were finally derived from the corresponding results of the Volterra equation established in this note.

关 键 词：可修复系统 VOLTERRA方程 适定性 稳定性 

分 类 号：O175.5[理学—数学]