Geodesic
On solution of first-order linear systems of partial differential equations
Contemporary Mathematics. Fundamental Directions, Dedicated to 70th anniversary of the President of the RUDN University V. M. Filippov, Tome 67 (2021) no. 3, pp. 549-563

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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. 
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     author = {V. G. Zadorozhniy and L. Yu. Kabantosva},
     title = {On solution of first-order linear systems of partial differential equations},
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     publisher = {mathdoc},
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/CMFD_2021_67_3_a9/}
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V. G. Zadorozhniy; L. Yu. Kabantosva. On solution of first-order linear systems of partial differential equations. Contemporary Mathematics. Fundamental Directions, Dedicated to 70th anniversary of the President of the RUDN University V. M. Filippov, Tome 67 (2021) no. 3, pp. 549-563. http://geodesic.mathdoc.fr/item/CMFD_2021_67_3_a9/