In this paper, we first introduce the concept of k-globally asymptotic stability and present a differential-difference inequality with infinite delay. By combining nonlinear inequality and nonlinear variation-of-param...In this paper, we first introduce the concept of k-globally asymptotic stability and present a differential-difference inequality with infinite delay. By combining nonlinear inequality and nonlinear variation-of-parameters formula, we derive the k-globally asymptotic stability criteria for nonlinear neutral system with infinite delay. In the end of this paper, an example is given to illustrate our theory.展开更多
基金the National Natural Science Foundation of China (10461006)the Younger Foundation of Yantai University (SX06Z9)
文摘In this paper, we first introduce the concept of k-globally asymptotic stability and present a differential-difference inequality with infinite delay. By combining nonlinear inequality and nonlinear variation-of-parameters formula, we derive the k-globally asymptotic stability criteria for nonlinear neutral system with infinite delay. In the end of this paper, an example is given to illustrate our theory.
