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Exponential stability of random impulsive pantograph equations
Author(s) -
Vinodkumar A.,
Senthilkumar T.,
Liu Zhongmin,
Li Xiaodi
Publication year - 2021
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.7218
Subject(s) - mathematics , pantograph , moment (physics) , exponential stability , exponential function , lyapunov function , differential equation , mathematical analysis , stability (learning theory) , control theory (sociology) , classical mechanics , nonlinear system , control (management) , computer science , physics , mechanical engineering , quantum mechanics , machine learning , artificial intelligence , engineering
In this paper, we study the p th moment exponential stable and p th 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.