solutions of BSDEs with stochastic Lipschitz condition.
Wang, Jiajie, Ran, Qikang, Chen, Qihong (2007)
Journal of Applied Mathematics and Stochastic Analysis
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Wang, Jiajie, Ran, Qikang, Chen, Qihong (2007)
Journal of Applied Mathematics and Stochastic Analysis
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Bahlali, K., Elouaflin, A., N'zi, M. (2004)
Journal of Applied Mathematics and Stochastic Analysis
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Bo Zhu, Baoyan Han (2012)
Applications of Mathematics
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We give a sufficient condition on the coefficients of a class of infinite horizon backward doubly stochastic differential equations (BDSDES), under which the infinite horizon BDSDES have a unique solution for any given square integrable terminal values. We also show continuous dependence theorem and convergence theorem for this kind of equations.
Zhang, Yinnan, Zheng, Weian (2002)
International Journal of Mathematics and Mathematical Sciences
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Øksendal, Bernt, Zhang, Tusheng (2010)
International Journal of Stochastic Analysis
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Barbu, D. (1998)
Portugaliae Mathematica
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Hoepfner, Reinhard (2009)
Electronic Communications in Probability [electronic only]
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Hamadéne, S., Ouknine, Y. (2003)
Electronic Journal of Probability [electronic only]
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Ankirchner, Stefan, Imkeller, Peter, Dos Reis, Gonçalo J.N. (2007)
Electronic Journal of Probability [electronic only]
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Burton, T.A. (2008)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Svatoslav Staněk (1995)
Annales Polonici Mathematici
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The differential equation of the form , a ∈ (0,∞), is considered and solutions u with u(0) = 0 and (u(t))² + (u’(t))² > 0 on (0,∞) are studied. Theorems about existence, uniqueness, boundedness and dependence of solutions on a parameter are given.