Sentence examples for the solution of the boundary from inspiring English sources

A dislocation based method is used to find the solution of the boundary value problem.

For specific f, the integration in (2) provides the solution of the boundary value problem (1).

Hence we get the solution of the boundary value problem (2.1).

(23) where (varphi= varphi_{1},varphi_{2})^{tau}) is the solution of the boundary layer problem.

This lemma is used to define the solution of the boundary value problem (1.5)–(1.5).

It is well known that the fixed point of operator is the solution of the boundary value problem (1.1), (1.2).

with ∥ ⋅ ∥ being the usual L 2 norm, and where U N denotes the partial sum of order N relevant to the Fourier-like series expansion representing the solution of the boundary-value problem for the Laplace equation, namely U N = ∑ m = − N N [ ( b − ϱ ) R − − ( a − ϱ ) R + b − a ] m ( A m cos m ϑ + B m sin m ϑ ) U N = + δ 0 ln ( ( b − ϱ ) R �� − ( a − ϱ ) R + b − a ).

Before presenting the main results, we define the solutions of the boundary value problem (1.1).

The solutions of the boundary value problems for Laplace operator are related to the ordinary shift operator.

We can conclude now that all u i ( t ) are the solutions of the boundary value problem (1 - 2).

with V 1 and V 2 being the solutions of the boundary values problems 2 and 3.