ON ONE OVERDETERMINED SYSTEM OF PARTIAL DERIVATIVE EQUATIONS WITH COMPLEX PERIODIC COEFFICIENTS

The article considers overdetermined systems of partial differential equations – generalized Cauchy-Riemann systems with many variables with complex periodic coefficients. A formula for the general solution of a homogeneous system is found. In the two-dimensional case, formulas for the general solution, as well as for bounded and periodic solutions of a non-homogeneous system, are obtained.