Construction of Solutions in a Broad Sense of Systems of First‐Order Partial Differential Equations With Periodic Conditions

ABSTRACT The work considers the existence and uniqueness of a solution in the broad sense of systems of differential equations with the same principal part and periodic conditions. Characteristic vector is constructed ‐ functions of the system under study, solutions are defined in a broad sense. A matrix corresponding to a homogeneous system was constructed. Sufficient conditions for the existence and uniqueness of the solution in the broad sense of systems of partial differential equations with periodic conditions are obtained.