摘要
The Sacker- Sell problem in quasiperiodic case, whether quasiperiodic linear differential systems can be quasiperiodically triangulari2ed, is studied. A class of more concrete quasiperiodic linear differential systems which are not quasiperiodically triangularized are given under the stronger conditions: (i) the coefficient matrix is of C; (ii) the frequency satisfies the Diophantine condition. A sufficient condition for quasiperiodic triangularization of quasiperiodic linear differential systems is also established.
The Sacker- Sell problem in quasiperiodic case, whether quasiperiodic linear differential systems can be quasiperiodically triangulari2ed, is studied. A class of more concrete quasiperiodic linear differential systems which are not quasiperiodically triangularized are given under the stronger conditions: (i) the coefficient matrix is of C; (ii) the frequency satisfies the Diophantine condition. A sufficient condition for quasiperiodic triangularization of quasiperiodic linear differential systems is also established.
