Stability of impulsive stochastic differential equations in terms of two measures via perturbing Lyapunov functions |
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| Authors: | Shuorui ZhangJitao Sun Yu Zhang |
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| Institution: | Department of Mathematics, Tongji University, Shanghai, China |
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| Abstract: | In this paper, we study the stability of nonlinear impulsive stochastic differential equations in terms of two measures. The concept of perturbing Lyapunov functions is introduced to discuss stability properties of solutions of nonlinear impulsive stochastic differential equations in terms of two measures. By using perturbing Lyapunov functions and comparison method, some sufficient conditions for the above stability are given. |
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| Keywords: | Stability Impulsive differential equation Stochastic differential equation Two measures Perturbing Lyapunov function |
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