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Existence, uniqueness and stability of the solution to neutral stochastic functional differential equations with infinite delay under non-Lipschitz conditions

โœ Scribed by Fengying Wei, Yuhua Cai


Book ID
120735907
Publisher
Springer International Publishing AG
Year
2013
Tongue
English
Weight
216 KB
Volume
2013
Category
Article
ISSN
1687-1839

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โœ Yong Ren; Shiping Lu; Ningmao Xia ๐Ÿ“‚ Article ๐Ÿ“… 2008 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 151 KB

In this paper, we obtain some results on the existence and uniqueness of solutions to stochastic functional differential equations with infinite delay at phase space BC((-โˆž, 0]; R d ) which denotes the family of bounded continuous R d -value functions defined on (-โˆž, 0] with norm = sup -โˆž< 0 | ( )|