Volume 10, no. 2Pages 144 - 149

Multipoint Initial-Final Value Problem for the Model of Devis with Additive White Noise

A.S. Konkina
The evolution of the free surface of the filtering fluid in a reservoir of limited power is modeled by the Davis equation with homogeneous Dirichlet conditions. Depending on the nature of the free term describing the internal source of the liquid, the model will be deterministic or stochastic. The deterministic model has been studied in various aspects by many researchers with different initial (initial-final value conditions). The stochastic model is studied for the first time. The main result is the proof of the unique solvability of the evolutionary model with an additive white noise and a multipoint initial-final value condition.
Full text
white noise; Wiener K-process; Davis model; multipoint initial-final value problem; stochastic model.
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