Balasubramaniam, P.; Park, J. Y. Nonlocal Cauchy problem for second order stochastic evolution equations in Hilbert spaces. (English) Zbl 1151.34046 Dyn. Syst. Appl. 16, No. 4, 713-728 (2007). The authors study the existence of mild solutions of second-order stochastic evolution equations with non-local conditions in Hilbert space. Their methods avoid the cosine and sine family of operators often used, but allow the introduction of noise into concrete models. There is a useful introductory section on earlier work. Reviewer: Andrew Dale (Durban) Cited in 9 Documents MSC: 34F05 Ordinary differential equations and systems with randomness 34G20 Nonlinear differential equations in abstract spaces 60H10 Stochastic ordinary differential equations (aspects of stochastic analysis) Keywords:stochastic evolution equation; nonlocal conditions; mild solution PDFBibTeX XMLCite \textit{P. Balasubramaniam} and \textit{J. Y. Park}, Dyn. Syst. Appl. 16, No. 4, 713--728 (2007; Zbl 1151.34046)