Explicit Solution Processes for Nonlinear Jump-Diffusion Equations

نویسندگان

چکیده

Recent studies have shown that the nonlinear jump-diffusion models give results which are in agreement with financial data. Here we provide linearization criteria together transformations linearize compound Poisson processes. Furthermore, introduce stochastic integrating factor to solve linear equations. Extended Cox–Ingersoll–Ross, Brennan–Schwartz and Epstein be linearizable their explicit solutions presented.

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ژورنال

عنوان ژورنال: Journal of Nonlinear Mathematical Physics

سال: 2021

ISSN: ['1776-0852', '1402-9251']

DOI: https://doi.org/10.1142/s1402925110000908