Computational Mathematics

Solution for one stochastic non-stationary linearized Hoff model

M. A. Sagadeeva, L. A. Krotov

South Ural State University, Chelyabinsk, Russian Federation

Abstract: The article investigates the solvability of the non-autonomous linearized Hoff model in the space of stochastic $\mathbf{K}$-processes. To do this, firstly the paper provides a result on the solvability of such a model in the deterministic case. Next, stochastic $\mathbf{K}$-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 $\mathbf{K}$-processes.

UDC: 517.9

MSC: 60H30, 34K50, 34M99

Received: 03.08.2025

Language: English

DOI: 10.14529/jcem250303