In this paper, a class of new stochastic differential equations on semilinear Hausdorff space under Hukuhara derivative, called set-valued stochastic differential equations (SSDEs) driven by a Wiener process. Moreover, some corresponding properties of SSDEs are discussed such as existence, uniqueness of solution. Finaly, we give some applications to models of interval-valued stochastic differential equations such as stock prices model and the Langevin equation.

Periodical:

Bulletin of Mathematical Sciences and Applications (Volume 1)

Pages:

1-15

Citation:

V. Ho and V. H. Ngo, "Existence Theorems for Solutions to Set-Valued Stochastic Differential Equations and Applications", Bulletin of Mathematical Sciences and Applications, Vol. 1, pp. 1-15, 2012

Online since:

Aug 2012

Authors:

Keywords:

Distribution:

Open Access

This work is licensed under a

Creative Commons Attribution 4.0 International License

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