CAUCHY PROBLEM AND REDUCTION OF A SYSTEM OF PARTIAL DIFFERENTIAL EQUATIONS
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Abstract
The Cauchy problem for systems of homogeneous and also nonlinear partial dif ferential equations is considered. If the compatibility conditions are satisfied, the solution is represented as functional series. The algorithm for reduction of a system of partial differential equations with linear homogeneous algebraic constraints is considered. It is proved that the compatibility conditions for the reduced system are identically satisfied.
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