Surveys in Mathematics and its Applications
ISSN 1842-6298 (electronic), 1843-7265 (print)
Volume 5 (2010), 275 -- 284UNCERTAINTY FUNCTIONAL DIFFERENTIAL EQUATIONS FOR FINANCE
Iuliana Carmen Bărbăcioru
Abstract. In this paper, we prove a local existence and uniqueness result for uncertain functional differential equation driven by canonical process.
2010 Mathematics Subject Classification: 34A07; 91G80; 91G99.
Keywords: Local existence and uniqueness; Uncertain functional differential equation; Canonical process; Delay; Uncertainty space; Fuzzy variable; Random fuzzy variable; Random fuzzy expected value model.
References
J. K. Hale, Theory of Functional Differential Equations, Second edition. Applied Mathematical Sciences, Vol. 3. Springer-Verlag, New York-Heidelberg, 1977. MR508721(58 #22904). Zbl 0352.34001.
B. Liu, Fuzzy process, hybrid process and uncertain process, Journal of Uncertain Systems, 2(1) (2008), 3--16.
B. Liu, Uncertainty Theory, Second edition, Springer, Berlin, 2007. MR2515179 00A17.
B. Liu and Y.K. Liu, Expected value operator of random fuzzy variable and random fuzzy expected value models. Internat. J. Uncertain. Fuzziness Knowledge-Based Systems 11(2) (2003), 195--215. MR1982216 (2004d:90142). Zbl 1074.90056.
Iuliana Carmen Bărbăcioru
University Constantin Brâncuşi of Târgu Jiu,
Str. Geneva, Nr. 3, 210136 Târgu Jiu, Romania.
e-mail: bcicarmen@utgjiu.ro
http://www.utgjiu.ro/math/cbarbacioru/