SOLUTION FOR ONE STOCHASTIC NON-STATIONARY LINEARIZED HOFF MODEL

M. A. Sagadeeva, L. A. Krotov

Abstract


The article investigates the solvability of the non-autonomous linearized Hoff model in the space of stochastic ${\bold K}$-processes. To do this, firstly the paper provides a result on the solvability of such a model in the deterministic case. Next, stochastic ${\bold K}$-processes  describes and some their specific characteristics are set. Finally, we formulates a theorem on the existence of a solution in the stochastic case and provides a result that illustrates the obtained statements.

Keywords


Sobolev type equations; Nelson - Gliklikh derivative; space of stochastic K-processes

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References


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