Numerical method of highly nonlinear and nonautonomous neutral stochastic differential delay equations with Markovian switching

Autor: Shuaibin Gao, Junhao Hu
Jazyk: angličtina
Rok vydání: 2020
Předmět:
Zdroj: Advances in Difference Equations, Vol 2020, Iss 1, Pp 1-37 (2020)
Druh dokumentu: article
ISSN: 1687-1847
DOI: 10.1186/s13662-020-03113-x
Popis: Abstract In this paper, we establish a partially truncated Euler–Maruyama scheme for highly nonlinear and nonautonomous neutral stochastic differential delay equations with Markovian switching. We investigate the strong convergence rate and almost sure exponential stability of the numerical solutions under the generalized Khasminskii-type condition.
Databáze: Directory of Open Access Journals
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