A nonlinear problem with an initial condition is solved and the corresponding linear problem with constant coefficients is solved as an example. Further, the half-order linear problem with constant ...

Boundary value problem: A static solution of the problem should be found in some region-and the dependent variable is specified on its boundary. Example: The Laplace equation.

Specifically, the latter system is decoupled into two subsystems, also initial value problems, one of them defined in the orbit space associated with the reduction and the other linear in its ...