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JOURNALS // Contemporary Mathematics. Fundamental Directions // Archive

CMFD, 2021 Volume 67, Issue 3, Pages 549–563 (Mi cmfd434)

This article is cited in 2 papers

On solution of first-order linear systems of partial differential equations

V. G. Zadorozhniy, L. Yu. Kabantosva

Voronezh State University, Voronezh, Russia

Abstract: Explicit formulas for the first-order partial differential equations system solving were obtained. Solution found for the system with initial conditions. Calculation examples establishing statements truth mentioned. Searching for partial differential equations system solution mathematical expectation became more difficult issue as partial differential equations system with random processes coefficients were covered. Gaussian coefficients and uniformly distributed random process cases examples has been reviewed.

UDC: 517.97

DOI: 10.22363/2413-3639-2021-67-3-549-563



© Steklov Math. Inst. of RAS, 2026