Linear Analytical Systems Non-Linear Analytical Systems Partial Differential Equations Compatibility Conditions
Institute of Mathematics and Informatics Bulgarian Academy of Sciences
Serdica Mathematical Journal, Vol. 21, No 3, (1995), 171p-184p
In this paper are examined some classes of linear and non-linear
analytical systems of partial differential equations. Compatibility conditions are
found and if they are satisfied, the solutions are given as functional series in a
neighborhood of a given point (x = 0).