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@article{THSP_2016_21_1_a9, author = {M. V. Tantsiura}, title = {On strong solutions to countable systems of {SDEs} with interaction and {non-Lipschitz} drift}, journal = {Teori\^a slu\v{c}ajnyh processov}, pages = {91--101}, publisher = {mathdoc}, volume = {21}, number = {1}, year = {2016}, language = {en}, url = {http://geodesic.mathdoc.fr/item/THSP_2016_21_1_a9/} }
TY - JOUR AU - M. V. Tantsiura TI - On strong solutions to countable systems of SDEs with interaction and non-Lipschitz drift JO - Teoriâ slučajnyh processov PY - 2016 SP - 91 EP - 101 VL - 21 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/THSP_2016_21_1_a9/ LA - en ID - THSP_2016_21_1_a9 ER -
M. V. Tantsiura. On strong solutions to countable systems of SDEs with interaction and non-Lipschitz drift. Teoriâ slučajnyh processov, Tome 21 (2016) no. 1, pp. 91-101. http://geodesic.mathdoc.fr/item/THSP_2016_21_1_a9/
[1] G. Da Prato, F. Flandoli, E. Priola, M. Rockner, “Strong uniqueness for stochastic evolution equations in Hilbert spaces perturbed by a bounded measurable drift”, Ann. Probab., 41:5 (2013), 3306–3344 | DOI | MR | Zbl
[2] D. Dawson, Measure-valued markov processes, Ecole d'Ete de Probabilites de Saint-Flour XXI, 1991 | MR
[3] S. N. Ethier, T. G. Kurtz, Markov processes: characterization and convergence, Wiley series in probability and mathematical statistics, 2005 | MR
[4] N. Ikeda, S. Watanabe, Stochastic Differential Equations and Diffusion Processes, Second Edition, North-Holland, Kodansha, 1989 | MR | Zbl
[5] V. V. Konarovs'kyi, “System of sticking diffusion particles of variable mass”, Ukrainian Math. J., 62:1 (2010), 97–113 | DOI | MR
[6] H. Kunita, Stochastic Flows and Stochastic Differential Equations, Cambridge university press, 1997 | MR | Zbl
[7] A. Yu. Pilipenko, M. V. Tantsiura, “On the strong existence and uniqueness to a solution of a countable system of SDEs with measurable drift”, Theory of Stochastic Processes, 19 (35):2 (2014), 52–63 | MR | Zbl
[8] Ya. G. Sinai, “Construction of dynamics in one-dimensional systems of statistical mechanics”, Theor. Math. Phys., 11:2 (1972), 487–494 | DOI | MR
[9] A. V. Skorokhod, Studies in the theory of random processes, Addison-Wesley, Reading, Massachusetts, 1965 | MR | Zbl
[10] A. Yu. Veretennikov, “On strong solutions and explicit formulas for solutions of stochastic integral equations”, Mat. Sb., 111(153):3 (1980), 434–452 | MR | Zbl
[11] A. K. Zvonkin, “A transformation of the phase space of a diffusion process that will remove the drift (Russian)”, Mat. Sb. (N.S.), 93:135 (1974), 129–149 | DOI | MR | Zbl