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Secondly, by condition,, then for, there exists a suitably big positive number, as, we have.
Next, by condition,, then for, there exists an appropriately big positive number, as, we have (3.15).
If is bounded, we suppose, there exists an appropriately big positive number, then choose, we have (3.22).
In what follows, we first show that there exists an adequately big positive number R > M μ Γ − 1 ( α − 1 ) such that the following claim holds: ( u 1, u 2 ) ≠ A ( u 1, u 2 ) + λ , ∀ ( u 1, u 2 ) ∈ ∂ B R ∩ ( P × P ), λ ≥ 0, (3.2).
Proof We first find that there exists an adequately big positive number R > M μ Γ − 1 ( α − 1 ) such that the following claim holds: ( u 1, u 2 ) ≠ λ A ( u 1, u 2 ), ∀ ( u 1, u 2 ) ∈ ∂ B R ∩ ( P × P ), λ ∈ [ 0, 1 ].
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CEO of Professional Science Editing for Scientists @ prosciediting.com