Sentence examples for boundary values problems are from inspiring English sources

General solutions of two-dimensional piezoelectricity, which yield all solutions of 2-D boundary values problems, are obtained by combining four complex conjugate pairs of independent eigensolutions, each containing an arbitrary analytic function.

Such boundary value problems are generally nonselfadjoint.

Several boundary value problems are formulated corresponding to common pipeline engineering problems.

The inhomogeneous combined Dirichlet Riemann and Hilbert boundary value problems are, respectively, formulated and solved analytically.

At each iteration step two auxiliary mixed well-posed boundary value problems are solved.

Problems associated with using global admissible functions in boundary value problems are discussed.

The applications of this orthogonality for solving some particular boundary value problems are discussed.

Finally, five examples of boundary value problems are investigated to show the efficiency of this method.

The corresponding initial boundary value problems are both numerically and computationally challenging.

In concrete cases some boundary value problems are solved in an explicit form.

Corresponding boundary value problems are then Fredholm in adequate scales of spaces.