Stability of delay equations via Lyapunov functions

作者：Barreira Luis^*; Valls Claudia

来源：Journal of Mathematical Analysis and Applications, 2010, 365(2): 797-805.

DOI：10.1016/j.jmaa.2009.12.018

• Delay equations
• Nonuniform exponential stability

The importance of Lyapunov functions is well known. in the general setting of nonautonomous linear delay equations v' = L(t)v(t), we show how to characterize completely the existence of a nonuniform exponential contraction or of a nonuniform exponential dichotomy in terms of Lyapunov functions. This includes uniform exponential behavior as a very special case, and it provides an alternative (usually simpler and particular

• 出版日期2010-3-15