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Problem with pulse action for a linear stochastic parabolic equation of higher order

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We prove a theorem on the well-posedness of the Cauchy problem for a linear higher-order stochastic equation of parabolic type with time-dependent coefficients and continuous perturbations whose solutions are subjected to pulse action at fixed times.

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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 60, No. 10, pp. 1422–1426, October, 2008.

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Perun, H.M. Problem with pulse action for a linear stochastic parabolic equation of higher order. Ukr Math J 60, 1660–1665 (2008). https://doi.org/10.1007/s11253-009-0151-y

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  • DOI: https://doi.org/10.1007/s11253-009-0151-y

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