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This article is cited in 3 scientific papers (total in 3 papers)
One dimensional stochastic differential equations: pathwise approach
M. A. Abdullin, N. S. Ismagilov, F. S. Nasyrov Ufa State Aviation Technical University, Ufa, Russia
Abstract:
We study path-wise analogues of one dimensional stochastic differential equations with symmetric integrals. We find existence and uniqueness conditions for solutions, the conditions of continuity and differentiability w.r.t. a parameter, as well as the conditions of linearization for such equations. We also study the structure of the solutions.
Keywords:
symmetric integral, differential equations with symmetric integral.
Received: 24.08.2013
Citation:
M. A. Abdullin, N. S. Ismagilov, F. S. Nasyrov, “One dimensional stochastic differential equations: pathwise approach”, Ufa Math. J., 5:4 (2013), 3–15
Linking options:
https://www.mathnet.ru/eng/ufa217https://doi.org/10.13108/2013-5-4-3 https://www.mathnet.ru/eng/ufa/v5/i4/p3
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