Global Solutions and Exponential Stability of Stochastic Functional Differential Equations with Infinite Delay |
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| Authors: | XU Yong HU Shi-geng |
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| Institution: | Department of Mathematics,Huazhong University of Science and Technology,Wuhan 430074,China;} |
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| Abstract: | This paper proves that, under the local Lipschitz condition, the stochastic functional differential equations with infinite delay have global solutions without the linear growth condition. Furthermore, the pth moment exponential stability conditions are given. Finally, one example is presented to illustrate our theory. |
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| Keywords: | Stochastic functional differential equation Infinite delay Global solution Moment exponential stability |
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