Sentence examples for boundary value equations are from inspiring English sources

The variational statement is written, and a set of non-linear boundary value equations are obtained.

To evaluate the performance of the numerical study, the analytical closed-form boundary value equations have been developed using the extended Hamiltonian principle.

The resultant boundary value equations of the system are solved by applying the Fourier transform technique, based upon which the noise reduction due to the compliant coating layer can be favorably calculated.

Since (3.16 - 3.18) and (3.27 - 3.29) are coupled nonlinear boundary value problems, these equations are solved numerically by Bvp4c with MATLAB, which is a collocation method equivalent to the fourth order mono-implicit Runge-Kutta method.

Two new numerical methods for the solution of stiff boundary valued ordinary differential equations are presented and compared.

Boundary-value and initial-value differential equations are solved using finite difference method and graph products, and then the method is applied to the dynamic equations of modal analysis.

Other examples of Sturm-Liouville boundary value problems are Hermite equations, Airy equations, Legendre equations etc.

Basic questions of the theory of boundary value problems for partial equations are the same for the boundary value problems for the loaded equations.

Because of the nonlinearity of -Laplacian, the results about -Laplacian impulsive differential equations boundary value problems are rare (see [6]).

The results as regards p-Laplacian impulsive differential equations boundary value problems are more difficult due to the nonlinearity of p-Laplacian (see [14] [18]).

In applications, stability estimates for the solution of the nonlocal boundary value problems for hyperbolic equations are obtained.