Sentence examples for solution of the limit from inspiring English sources

(3.9) As a consequence, u is the least energy solution of the limit equation (3.8).

converge strongly to the solution of the limit problem (3.6), that is, (3.8).

As a consequence, (u^) is the least energy solution of the limit equation (4.4).

An asymptotic expansion is performed to obtain a closed-form analytical solution of the limit load imperfection rule.

Our argument employs the Arzelà Ascoli theorem and also yields the existence of a solution of the limit problem.

If this assumption does not hold, we argue that the regularized solutions may not converge to a solution of the limit problem with a Heaviside firing function.

Let be any solution of the limiting equation (2.12), passing through, such that for all.

holds, where is a positive characteristic solution of the limiting equation (2.4) corresponding to the set of characteristic values (2.8).

where is any solution of the limiting equation (2.12) of (2.7), which passes through such that for all.

Also, we assume that the compact set in satisfies for all and for all, where is any solution of the limiting equation of (2.12) and (2.7).

where Up,μ(x)=Up,μ(|x|) is the unique radial solution of the limiting problem with U p, μ ( 1 ) = ( N − t ) N − p 1 p ∗ ( t ) − p. Open image in new window.