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Invariant Measure for Neutral Stochastic Functional Differential Equations with Non-Lipschitz Coefficients
Andriy Stanzhytskyi, Oleksandr Stanzhytskyi, Oleksandr Misiats
In this work we study the long time behavior of nonlinear stochastic functional-differential equations of neutral type in Hilbert spaces with non-Lipschitz nonlinearities. We estab…
Strong solutions and asymptotic behavior of bidomain equations with random noise
Oleksiy Kapustyan, Oleksandr Misiats, Oleksandr Stanzhytskyi
In this paper we study the conditions for the existence of strong solutions (both local and global) for stochastic bidomain equations. To this end, we use apriori energy estimates…
On global existence and blowup of solutions of stochastic Keller-Segel type equation
Oleksandr Misiats, Oleksandr Stanzhytskyi, Ihsan Topaloglu
In this paper we consider a stochastic Keller-Segel type equation, perturbed with random noise. We establish that for special types of random pertubations (i.e. in a divergence for…