Open AccessGlobal existence and controllability to a stochastic integro-differential equation
Author(s) -
YongKui Chang,
Zhi-Han Zhao,
Juan J. Nieto
Publication year - 2010
Publication title -
electronic journal of qualitative theory of differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.524
H-Index - 33
ISSN - 1417-3875
DOI - 10.14232/ejqtde.2010.1.47
Subject(s) - controllability , mathematics , integro differential equation , differential equation , stochastic differential equation , mathematical analysis , mathematical economics , first order partial differential equation
In this paper, we are focused upon the global uniqueness results for a stochastic integro-differential equation in Frechet spaces. The main results are proved by using the resolvent operators combined with a nonlinear alternative of Leray-Schauder type in Frechet spaces due to Frigon and Granas. As an application, a controllability result with one parameter is given to illustrate
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