In this paper, we investigate the exponential stability in pth moment as well as the almost surely exponential stability of solutions of stochastic Volterra-Levin equations （SVLEs in short） by the use of fixed point...In this paper, we investigate the exponential stability in pth moment as well as the almost surely exponential stability of solutions of stochastic Volterra-Levin equations （SVLEs in short） by the use of fixed point theorem for p ≥ 2. Our results extend and improve the corresponding results obtained in [3, 12], and the result in [12] is a special case of our results.展开更多
In this paper we establish Levin type comparison theorems for certain second order differential equations. The results obtained here generalize and extend some of the earlier ones related to the Levin's comparison...In this paper we establish Levin type comparison theorems for certain second order differential equations. The results obtained here generalize and extend some of the earlier ones related to the Levin's comparison theorems.展开更多
基金Supported by NSFC of Tianyuan Youth Foundation(Grant No.11126125)K.C.Wong Magna Fund of NingboUniversity and Ningbo Natural Science Foundation(Grant No.2012A610031)
文摘In this paper, we investigate the exponential stability in pth moment as well as the almost surely exponential stability of solutions of stochastic Volterra-Levin equations （SVLEs in short） by the use of fixed point theorem for p ≥ 2. Our results extend and improve the corresponding results obtained in [3, 12], and the result in [12] is a special case of our results.
文摘In this paper we establish Levin type comparison theorems for certain second order differential equations. The results obtained here generalize and extend some of the earlier ones related to the Levin's comparison theorems.
