@article {Peng:January 2008:0233-1934:827, author = "Peng, Y.", author = "Xiang, X.", title = "Second-order nonlinear impulsive evolution equations with time-varying generating operators and optimal controls", journal = "Optimization", volume = "57", year = "January 2008", abstract = "In this article, the second-order nonlinear impulsive evolution differential equations with time-varying generating operators is considered. Constructing evolution systems generated by time-varying operator matrix, we introduce suitable mild solution of the second-order nonlinear impulsive evolution differential equations. The existence and uniqueness of the mild solutions and the continuous dependence on initial value are proved. The existence of the optimal controls for a Lagrange problem of the systems governed by the second-order nonlinear impulsive evolution equations is also presented. An example is given for demonstration.", pages = "827-840(14)", url = "http://www.ingentaconnect.com/content/tandf/gopt/2008/00000057/00000006/art00005" doi = "doi:10.1080/02331930701761391" }