| Abstract |
The non-local boundary value problem for the system of partial differential equations
, , (1)
, , (2)
, , (3)
, (4)
is considered in .
Here ; matrices , , vector – function , matrices , , is a - vector – function and , are functions continuous on , , accordingly.
A method of parameterization [1], [2] was developed for the system of hyperbolic equations with mixed derivative.
In given work, introduce new functions [3] , . Then investigation problem is reduced to the equivalent problem for the system of hyperbolic first – order equations with identical main part on Courant.
Sufficient of coefficient conditions are obtained for the correct solvability of the problem in the terms of invertibility of the matrix, and boundary condition. Found the constant of correct solvability of the research problem (1)-(4). In the work an algorithm is offered to find the solution of the considered problem. Existence of the solution is established in the sense of Fridrihsu.
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