The Pth Moment Asymptotical Ultimate Boundedness Of Pantograph Stochastic Differential Equations With Time-Varying Coefficients

This article examines the pth moment asymptotical ultimate boundedness of highly nonlinear pantograph stochastic differential equations. By Lyapunov function approach and stochastic analysis techniques, several novel criteria on the pth moment asymptotical boundedness are acquired. The proportional delays and different orders of nonlinearities have been considered and the diffusion operator is allowed to satisfy a weaker assumption including time-varying coefficients, which results in the improvements of the existing theory. (C) 2021 Elsevier Ltd. All rights reserved.