ON UNIQUENESS AND CONTINUOUS DEPENDENCE OF THE WEAK SOLUTIONS OF NEUTRAL STOCHASTIC FUNCTIONAL DIFFERENTIAL EQUATIONS IN INFINITE DIMENSIONAL SPACES
Khaletska Z.P. Ospanov M.N. Perestyuk Y.M. Pravdyvyi O.A.
2024Oles Honchar Dnipro National University
Journal of Optimization, Differential Equations and their Applications
2024#32Issue 2156 - 174 pp.
In this paper we establish uniqueness of the weak solutions of nonlinear stochastic functional differential equations of neutral type in Hilbert spaces. We also study the continuous dependence of such solutions on the initial data.
functional differential equation , mild solution , neutral type , weak convergence , weak solution , Wiener process
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Volodymyr Vynnychenko Central Ukrainian State University, 1, Shevchenko, st., Kropyvnytskyi, 25006, Ukraine
L.N. Gumilyov Eurasian National University, Satpayev 2, Astana, 010008, Kazakhstan
Taras Shevchenko National University of Kyiv, 64/13, Volodymyrska st., Kyiv, 01601, Ukraine
Volodymyr Vynnychenko Central Ukrainian State University
L.N. Gumilyov Eurasian National University
Taras Shevchenko National University of Kyiv
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