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Invariant measures and their limiting behaviour for neutral type stochastic delay equations in Hilbert space
Pravdyvyi O. 1 , Stanzhytsʹkyy Oleksandr Mykolayovych 1 , Stanzhytskyi Andriy Oleksandrovych 2 , Martynyuk Olga 3
1 Taras Shevchenko National University of Kyiv, Kyiv, 01033, Ukraine
2 Department of Differential Equations and Theory of Oscillations, Institute of Mathematics of the National Academy of Sciences of Ukraine, Kyiv, 01024, Ukraine
3 Department of Algebra and Informatics, Yuriy Fedkovych Chernivtsi National University, Chernivtsi, 58000, Ukraine
Keywords: Wiener process, delay, invariant measure, fractional power, semigroup, mild solution
Abstract

In this work we consider invariant measures for neutral type stochastic delay evolution equation in Hilbert space. Established conditions on existence and uniqueness of invariant measures for neutral type stochastic delay evolution equation in Hilbert space. Established limiting behaviour of invariant measures if length of delay interval $h\longrightarrow0$.

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Published Online 5/31/2025
Cite
ACS Style
Pravdyvyi , O.; Stanzhytsʹkyy , O.M.; Stanzhytskyi, A.O.; Martynyuk, O. Invariant measures and their limiting behaviour for neutral type stochastic delay equations in Hilbert space. Bukovinian Mathematical Journal. 2025, 13
AMA Style
Pravdyvyi O, Stanzhytsʹkyy OM, Stanzhytskyi AO, Martynyuk O. Invariant measures and their limiting behaviour for neutral type stochastic delay equations in Hilbert space. Bukovinian Mathematical Journal. 2025; 13(1).
Chicago/Turabian Style
O. Pravdyvyi , Oleksandr Mykolayovych Stanzhytsʹkyy , Andriy Oleksandrovych Stanzhytskyi, Olga Martynyuk. 2025. "Invariant measures and their limiting behaviour for neutral type stochastic delay equations in Hilbert space". Bukovinian Mathematical Journal. 13 no. 1.
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