Approximate solutions of hybrid stochastic pantograph equations with Levy jumps
Mao, Wei and Mao, Xuerong (2013) Approximate solutions of hybrid stochastic pantograph equations with Levy jumps. Abstract and Applied Analysis, 2013. 718627. (https://doi.org/10.1155/2013/718627)
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Abstract
We investigate a class of stochastic pantograph differential equations with Markovian switching and Levy jumps. We prove that the approximate solutions converge to the true solutions in 퐿 2 sense as well as in probability under local Lipschitz condition and generalize the results obtained by Fan et al. (2007), Milošević and Jovanović (2011), and Marion et al. (2002) to cover a class of more general stochastic pantograph differential equations with jumps. Finally, an illustrative example is given to demonstrate our established theory.
ORCID iDs
Mao, Wei and Mao, Xuerong ORCID: https://orcid.org/0000-0002-6768-9864;-
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Item type: Article ID code: 46690 Dates: DateEvent2013PublishedSubjects: Science > Mathematics > Probabilities. Mathematical statistics Department: Faculty of Science > Mathematics and Statistics Depositing user: Pure Administrator Date deposited: 14 Feb 2014 13:02 Last modified: 19 Sep 2024 00:34 URI: https://strathprints.strath.ac.uk/id/eprint/46690