Sentence examples for function on the boundary from inspiring English sources

We require that this be 0 at each of the interior points given the values of the function on the boundary, i.e., 1 on the horizontal boundaries and 0 on the vertical boundaries.

They come up when values of the function on the boundary are connected to its value inside the domain.

Nonlocal conditions come up when values of the function on the boundary are connected to values inside the domain.

The plate's edge is elastically supported so that the boundary values of the radial bending moment equal zero, while the shear force is directly proportional to the deflection function on the boundary.

Later Yoshida [19] proved the property of a harmonic function defined on a half-space which is represented by the generalized Poisson integral with a slowly growing continuous function on the boundary.

We mention that integral boundary conditions are encountered in various applications such as population dynamics, blood flow models, chemical engineering, cellular systems, heat transmission, plasma physics, thermoelasticity, etc. Nonlocal conditions come up when values of the function on the boundary is connected to values inside the domain.

Let H be the space of all real Hölder continuous functions on the boundary Γ.

Assume that H be the space of all real Hölder continuous functions on the boundary Γ.

It should be noted that condition (10.7) involves the values of functions on the boundary of Ω only.

By using the generalised Dirichlet integral inequality with continuous functions on the boundary of the upper half-space, we prove new types of solutions for the Neumann problem with fast-growing continuous data on the boundary.

Here f ∈ C ( 1, α ) , g ∈ C are the given functions on the boundary, ∂ ∂ ν -differentiation with respect to inner normal to Γ. Problem (3), (4) is well posed [2] and has a solution for arbitrary boundary functions.