Identifier
etd-07062009-094329
Degree
Doctor of Philosophy (PhD)
Department
Mathematics
Document Type
Dissertation
Abstract
This dissertation focuses on linear stochastic differential equations of anticipating type. Owing to the lack of a theory of differentiation for random processes, the said differential equations are appropriately understood and studied as anticipating stochastic integral equations. The unfolding work considers equations in which anticipation arises either from the initial condition or the integrand. In this regard, the techniques of white noise analysis are applied to such equations. In particular, by using the Hitsuda-Skorokhod integral which nicely extends the It integral to anticipating integrands, we then apply the S-transform from white noise analysis to study this new equation.
Date
2009
Document Availability at the Time of Submission
Release the entire work immediately for access worldwide.
Recommended Citation
Esunge, Julius, "White noise methods for anticipating stochastic differential equations" (2009). LSU Doctoral Dissertations. 2132.
https://repository.lsu.edu/gradschool_dissertations/2132
Committee Chair
Hui-Hsiung Kuo
DOI
10.31390/gradschool_dissertations.2132
