Clark, Jason; Misiats, Oleksandr; Mogylova, Viktoriia; Stanzhytskyi, Oleksandr Asymptotic behavior of stochastic functional differential evolution equation. (English) Zbl 1518.35703 Electron. J. Differ. Equ. 2023, Paper No. 35, 21 p. (2023). MSC: 35R60 35B40 60H15 92C35 PDFBibTeX XMLCite \textit{J. Clark} et al., Electron. J. Differ. Equ. 2023, Paper No. 35, 21 p. (2023; Zbl 1518.35703) Full Text: Link
Kapustyan, Oleksiy; Martynyuk, Olha; Misiats, Oleksandr; Stanzhytskyi, Oleksandr Long Time Behavior of Stochastic Thin Film Equation. arXiv:2311.16285 Preprint, arXiv:2311.16285 [math.AP] (2023). BibTeX Cite \textit{O. Kapustyan} et al., ``Long Time Behavior of Stochastic Thin Film Equation'', Preprint, arXiv:2311.16285 [math.AP] (2023) Full Text: arXiv OA License
Kapustyan, Oleksiy; Martynyuk, Olha; Misiats, Oleksandr; Stanzhytskyi, Oleksandr Thin Film Equations with Nonlinear Deterministic and Stochastic Perturbations. arXiv:2307.12665 Preprint, arXiv:2307.12665 [math.AP] (2023). BibTeX Cite \textit{O. Kapustyan} et al., ``Thin Film Equations with Nonlinear Deterministic and Stochastic Perturbations'', Preprint, arXiv:2307.12665 [math.AP] (2023) Full Text: arXiv OA License
Misiats, Oleksandr; Stanzhytskyi, Oleksandr; Mogylova, Viktoriia; Korol, Ihor Invariant measures and asymptotic behavior of stochastic evolution equations. (English) Zbl 1515.60208 Moklyachuk, Mikhail (ed.), Stochastic processes. Fundamentals and emerging applications. New York, NY: Nova Science Publishers. Math. Res. Dev., 309-349 (2022). MSC: 60H10 60H30 60H15 PDFBibTeX XMLCite \textit{O. Misiats} et al., in: Stochastic processes. Fundamentals and emerging applications. New York, NY: Nova Science Publishers. 309--349 (2022; Zbl 1515.60208) Full Text: DOI
Stanzhytsky, Andriy; Misiats, Oleksandr; Stanzhytskyi, Oleksandr Invariant measure for neutral stochastic functional differential equations with non-Lipschitz coefficients. (English) Zbl 1500.35289 Evol. Equ. Control Theory 11, No. 6, 1929-1953 (2022). MSC: 35R10 35R60 35B30 35B40 60H15 PDFBibTeX XMLCite \textit{A. Stanzhytsky} et al., Evol. Equ. Control Theory 11, No. 6, 1929--1953 (2022; Zbl 1500.35289) Full Text: DOI arXiv
Kapustyan, Oleksiy; Misiats, Oleksandr; Stanzhytskyi, Oleksandr Strong solutions and asymptotic behavior of bidomain equations with random noise. (English) Zbl 1498.35167 Stoch. Dyn. 22, No. 6, Article ID 2250027, 28 p. (2022). MSC: 35D35 35R60 35K51 35K58 60G10 60H15 PDFBibTeX XMLCite \textit{O. Kapustyan} et al., Stoch. Dyn. 22, No. 6, Article ID 2250027, 28 p. (2022; Zbl 1498.35167) Full Text: DOI arXiv
Misiats, Oleksandr; Stanzhytskyi, Oleksandr; Topaloglu, Ihsan On global existence and blowup of solutions of stochastic Keller-Segel type equation. (English) Zbl 1479.35146 NoDEA, Nonlinear Differ. Equ. Appl. 29, No. 1, Paper No. 3, 29 p. (2022). MSC: 35B44 35K15 35K59 35R60 60H30 65M75 92C17 PDFBibTeX XMLCite \textit{O. Misiats} et al., NoDEA, Nonlinear Differ. Equ. Appl. 29, No. 1, Paper No. 3, 29 p. (2022; Zbl 1479.35146) Full Text: DOI arXiv
Misiats, Oleksandr; Stanzhytskyi, Oleksandr; Yip, Nung Kwan Invariant measures for stochastic reaction-diffusion equations with weakly dissipative nonlinearities. (English) Zbl 1490.60189 Stochastics 92, No. 8, 1197-1222 (2020). MSC: 60H15 PDFBibTeX XMLCite \textit{O. Misiats} et al., Stochastics 92, No. 8, 1197--1222 (2020; Zbl 1490.60189) Full Text: DOI
Hieber, Matthias; Misiats, Oleksandr; Stanzhytskyi, Oleksandr On the bidomain equations driven by stochastic forces. (English) Zbl 1446.35273 Discrete Contin. Dyn. Syst. 40, No. 11, 6159-6177 (2020). MSC: 35R60 35K51 60H15 92C35 PDFBibTeX XMLCite \textit{M. Hieber} et al., Discrete Contin. Dyn. Syst. 40, No. 11, 6159--6177 (2020; Zbl 1446.35273) Full Text: DOI
Misiats, Oleksandr; Mogylova, Viktoriia; Stanzhytskyi, Oleksandr Invariant Measure for Stochastic Functional Differential Equations in Hilbert Spaces. arXiv:2011.07034 Preprint, arXiv:2011.07034 [math.AP] (2020). BibTeX Cite \textit{O. Misiats} et al., ``Invariant Measure for Stochastic Functional Differential Equations in Hilbert Spaces'', Preprint, arXiv:2011.07034 [math.AP] (2020) Full Text: arXiv OA License
Misiats, Oleksandr; Stanzhytskyi, Oleksandr; Yip, Nung Kwan Asymptotic analysis and homogenization of invariant measures. (English) Zbl 1415.60053 Stoch. Dyn. 19, No. 2, Article ID 1950015, 27 p. (2019). MSC: 60G57 60H15 35B27 PDFBibTeX XMLCite \textit{O. Misiats} et al., Stoch. Dyn. 19, No. 2, Article ID 1950015, 27 p. (2019; Zbl 1415.60053) Full Text: DOI
Lavrova, O.; Mogylova, V.; Stanzhytskyi, O.; Misiats, O. Approximation of the optimal control problem on an interval with a family of optimization problems on time scales. (English) Zbl 1398.49016 Nonlinear Dyn. Syst. Theory 17, No. 3, 303-314 (2017). MSC: 49K15 34K35 34N99 39A13 49J45 93C15 93C70 PDFBibTeX XMLCite \textit{O. Lavrova} et al., Nonlinear Dyn. Syst. Theory 17, No. 3, 303--314 (2017; Zbl 1398.49016)
Misiats, Oleksandr; Stanzhytskyi, Oleksandr; Yip, Nung Kwan Existence and uniqueness of invariant measures for stochastic reaction-diffusion equations in unbounded domains. (English) Zbl 1360.60126 J. Theor. Probab. 29, No. 3, 996-1026 (2016). Reviewer: Martin Ondreját (Praha) MSC: 60H15 35R60 35B40 35K57 PDFBibTeX XMLCite \textit{O. Misiats} et al., J. Theor. Probab. 29, No. 3, 996--1026 (2016; Zbl 1360.60126) Full Text: DOI arXiv