Approximation theorems for the propagators of higher order abstract cauchy problems

作者：Liang Jin^*; Nagel Rainer; Xiao Ti Jun

来源：Transactions of the American Mathematical Society, 2008, 360(4): 1723-1739.

• differential equations in Banach spaces
• higher order (in time)
• dynamic boundary conditions
• approximation

In this paper, we present two quite general approximation theorems for the propagators of higher order ( in time) abstract Cauchy problems, which extend largely the classical Trotter-Kato type approximation theorems for strongly continuous operator semigroups and cosine operator functions. Then, we apply the approximation theorems to deal with the second order dynamical boundary value problems.

• 出版日期2008
• 单位中国科学技术大学