Existence and Uniqueness of Solutions for a Class of Nonlinear Stochastic Differential Equations
Author(s) -
Iryna Komashynska
Publication year - 2013
Publication title -
abstract and applied analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.228
H-Index - 56
eISSN - 1687-0409
pISSN - 1085-3375
DOI - 10.1155/2013/256809
Subject(s) - mathematics , uniqueness , nonlinear system , class (philosophy) , stochastic differential equation , mathematical analysis , diffusion , differential equation , diffusion process , innovation diffusion , physics , quantum mechanics , artificial intelligence , computer science , thermodynamics , knowledge management
By using successive approximation, we prove existence and uniqueness result for a class of nonlinear stochastic differential equations. Moreover, it is shown that the solution of such equations is a diffusion process and its diffusion coefficients are found
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