By Lemma 6, the corresponding solution x αλ (t) satisfies x α λ t ≼ y α λ t for all t ∈ T 0, +.
Consequently, T has a fixed point in B which we denote by v, and the corresponding solution u of (4.7) is the periodic solution of (4.7) with period ξ with the initial condition (u(0)=v).
Consequently, T has a fixed point which we denote by v, and the corresponding solution u of (5.8) with the initial condition (u(0)=v) is a desired periodic solution of (5.8) with period ξ.
Take a sequence f n ∈ C ∞ ∩ C , n = 1, 2,..., so that {f n } converges uniformly to f in Ω. Denote by u n the corresponding solution of the Dirichlet problem L v - λ v = f n , in Ω, u = φ, on ∂ Ω.
and denote the corresponding solution by ( u ( k ), q ( k ), η t ( k ) ) with h ( k ) = h ( η ( k ) ).
In case the power iteration is replaced by another algorithm, uniqueness of the corresponding solution has to be guaranteed in a different way. .
When a is set to 2 on average the resulting solution is overestimated by 18.5% (i.e. the corresponding solution for the aggregated problem suggests an objective function value that is 18.35% above the solution, when the corresponding optimized location pattern is evaluated in terms of the original demand nodes at the finest level of detail).
The latter case is covered by the above formulas (2.31) and (2.32) since it can be treated as system (2.28) considered previously (with ) when, and the corresponding solution is described by the formula (2.29).
And therefore the corresponding solution is to supply opportunity by ending discrimination, providing education, training, child care, transportation and investing public and private funds to create new jobs.
