Mel’nyk, S. A. Dynamics of non self-similar solutions of Cauchy problem for some parabolic type stochastic equations with polynomial nonlinearities. (Ukrainian, English) Zbl 1050.60066 Teor. Jmovirn. Mat. Stat. 67, 117-121 (2002); translation in Theory Probab. Math. Stat. 67, 129-134 (2003). Dynamics of non self-similar solutions of the initial value problems for certain type of parabolic partial stochastic equations with polynomial nonlinearities is investigated. The cases, where the stochastic part is linear, but the deterministic source is linear or its power is equal to the power of the main part of the equation, are discussed. Reviewer: N. M. Zinchenko (Kyïv) MSC: 60H15 Stochastic partial differential equations (aspects of stochastic analysis) Keywords:parabolic partial stochastic equations; nonlinearity; non self-similar solutions; initial value problems PDFBibTeX XMLCite \textit{S. A. Mel'nyk}, Teor. Ĭmovirn. Mat. Stat. 67, 117--121 (2002; Zbl 1050.60066); translation in Theory Probab. Math. Stat. 67, 129--134 (2003)