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Exponential stability of random impulsive pantograph equations

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In this paper, we study the pth moment exponential stable and pth moment weakly exponential stable results for the random impulsive pantograph delay differential equations (RIPDDEs). Further, we obtained some… Click to show full abstract

In this paper, we study the pth moment exponential stable and pth moment weakly exponential stable results for the random impulsive pantograph delay differential equations (RIPDDEs). Further, we obtained some sufficient conditions by using the method of Lyapunov and Razumukhin technique. Finally, we give several numerical examples with their simulations are provided to illustrate the effectiveness of the proposed results.

Keywords: exponential stability; stability random; pantograph equations; impulsive pantograph; random impulsive

Journal Title: Mathematical Methods in the Applied Sciences
Year Published: 2021

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