Stability criteria of differential systems via Liapunov's second method

摘要

Stability notions for systems of ordinary and functional differential equations were investigated by many authors. Our purpose in this paper is to study sufficient conditions of different types of stability, and improvements of some results of Athanassov, Yoneyama, and Li-Fu. Furthermore, we show that the condition V′(t,0)≤0 is not sometimes a necessary condition for stability results.