Sentence examples for condition given by from inspiring English sources

with a first class of boundary condition given by (22).

This is also true in view of the initial condition given by Eq. (7)1.

(9) and (10), respectively, and the supplementary geometrical condition given by Eq. (2).

We provide here a proof of the condition given by (63).

These equations are solved with an ionospheric boundary condition given by Eq. (14).

W1 given by Equation 53 satisfies the boundary condition given by Equation 50.

For high Reynolds number flows, these schemes are stable under the CFL condition given by the convective terms.

We also point out that the condition given by Chidume-Shahzad (2010) is not satisfied in a real Hilbert space.

System (2.1) is supplemented with the initial condition given by x t 0 ( s ) = ψ ( s ), s ∈ [ − τ, 0 ], (2.2).

We will also need another form of the log-Hölder continuity condition given by the following definition.

These results refine threshold conditions given by previous metapopulation models.