These conditions can be given in the form of initial or boundary conditions. Initial conditions define the values of the dependent variables at the initial stage (e.g. at ), whereas the boundary ...

While the abstract theory available can be applied directly to problems with unbounded domains or zero boundary conditions, many problems arising in applications are in fact initial–boundary value ...

R. E. O'Malley, Jr., Boundary Layer Methods for Nonlinear Initial Value Problems, SIAM Review, Vol. 13, No. 4 (Oct., 1971), pp. 425-434 ...